Publications

1. Hannes Gernandt, Dominik Krauße, Ralf Sommer, Carsten Trunk, Henrik Winkler,
   On network redesign using rank-one updates with an application to the Miller amplifier,
   submitted
    
2. Juan Giribet, Matthias Langer, Francisco Martinez Peria, Friedrich Philipp, and Carsten Trunk
   Spectral enclosures for a class of  block operator matrices;
   J. Funct. Anal. 278 (2020).
    
3. Hannes Gernandt Nedra Moalla, Friedrich Philipp, Wafa Selmi, Carsten Trunk
   Invariance of the essential spectra of operator pencils;
   to appear in Oper. Theory Adv. Appl. 278 (2020).
    
4. Florian Leben, Carsten Trunk
   Operator based approach to PT-symmetric problems on a wedge-shaped contour;
    Quantum Stud.: Math. Found. 6 (2019), 315-333. view online version
    
5. Junjie Huang, Junfeng Sun, Alatancang Chen, Carsten Trunk
   The invertibility of 2x2 operator matrices; pdf-file
   Math. Nachr. 292 (2019), 2411–2426.
    
6. Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
   Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials;
   J. Differential Equations 267 (2019), 468-493.
    
7. Thomas Berger, Juan Giribet, Francisco Martinez Peria und Carsten Trunk
   On a class of non-Hermitian matrices with positive definite Schur complements;
   Proc. Amer. Math. Soc. 147 (2019), 2375-2388.


8. Leslie Leben, Francisco Martinez Peria, Friedrich Philipp, Carsten Trunk and Henrik Winkler
   Finite rank perturbations of linear relations and singular matrix pencils;
   submitted.


9. Hannes Gernandt, and Carsten Trunk
   Locally finite extensions and Gesztesy-Seba realizations for the Dirac operator on a metric graph
   submitted.
    
10. Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, and Michał Wojtylak
    The gap distance to the set of singular matrix pencils,
    Linear Algebra Appl. 564 (2019), 28-57.
     
11. Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
    Spectral bounds for singular indefinite Sturm-Liouville operators with L^1-potentials;
    Proc. Amer. Math. Soc. 146 (2018), 3935-3942;
     
12. Birgit Jacob, Christiane Tretter, Carsten Trunk, Hendrik Vogt,
    Systems with strong damping and their spectra;
    Math. Methods Appl. Sci. 41 (2018), 6546-6573.
     
13. Juan Giribet, Matthias Langer, Leslie Leben, Alejandra Maestripieri, Francisco Martinez Peria, Carsten Trunk
    Spectrum of J-frame Operators, Opusc. Math. 38 (2018) 623-649;
     
14. Vladimir Derkach, Carsten Trunk,
    Coupling of Definitizable Operators in Krein Spaces;
    NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS 8 (2017) 166–179;
     
15. Andrei .A. Shkalikov, C. Trunk
    On stability of closeness and self-adjointness for 2x2 operator matrices,
    Math. Notes 100 (2016), 870-875;
     
16. Jussi Behrndt, Roland Möws, Carsten Trunk
    Eigenvalue estimates for operators with finitely many negative squares; pdf-file
    Opusc. Math. 36 (2016), 717-734;
     
17. Hannes Gernandt, Carsten Trunk
    Eigenvalue placement for regular matrix pencils with rank one perturbations; pdf-file
    SIAM. J. Matrix Anal. Appl. 38 (2017), 134-154http://dx.doi.org/10.1137/16M1066877;
     
18. Thomas Berger, Carsten Trunk, Henrik Winkler
    Linear relations and the Kronecker canonical form; pdf-file
    Linear Algebra Appl. 488 (2016), 13-44;
     
19. Birgit Jacob, Matthias Langer, Carsten Trunk
    Variational principles for self-adjoint operator functions arising from second-order systems; pdf-file
    Operators and Matrices 10 (2016), 501-531;

20. Jussi Behrndt, Leslie Leben, Francisco Martinez Peria, Carsten Trunk
    The effect of finite rank perturbations on Jordan chains of linear operators;pdf-file
    Linear Algebra Appl. Vol. 479 (2015), 118-130;

21. Achim Ilchmann, Tilman Selig, Carsten Trunk
    The Byrnes-Isidori form for infinite-dimensional systems; pdf-file
    SIAM J. on Control Optim. Vol. 54 (2016), 1504-1534;
     
22. Jussi Behrndt, Leslie Leben, Francisco Martinez Peria, Roland Möws, Carsten Trunk
    Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces; [pdf-file]
    J.  Math.  Anal.  Appl.  Vol. 439 (2016), 864-895;
     
23. Friedrich Philipp, Carsten Trunk
    Spectral points of type pi_+ and type pi_- of closed operators in indefinite inner product spaces; [pdf-file]
    Operators and Matrices Vol. 9 (2015), 481-506;
     
24. Jussi Behrndt, Roland Möws, Carsten Trunk
    On finite Rank Perturbations of Selfadjoint Operators in Krein Spaces and Eigenvalues in Spectral Gaps;[pdf-file]
    Complex Anal. Oper. Theory Vol. 8 (2013), 925-936;
     
25. Jussi Behrndt, Friedrich Philipp, Carsten Trunk 
      Bounds on the non-real spectrum of differential operators with indefinite weights;[pdf-file]
    Math. Ann. Vol. 357 (2013), 185-213;
     
26. Jussi Behrndt, Annemarie Luger, Carsten Trunk 
     On the negative squares of a class of self-adjoint extensions in Krein spaces; [pdf-file] 
    Math. Nachr. Vol. 286 (2013), 118-148;
     
27. Friedrich Philipp, Carsten Trunk
    The numerical range of non-negative operators in Krein spaces;[pdf-file]
    Linear Algebra Appl. Vol. 438 (2013),  2542–2556;
     
28. Friedrich Philipp, Vladimir Strauss, Carsten Trunk
     Local spectral theory for normal operators in Krein spaces; [pdf-file]
    Math. Nachr. Vol. 286 (2013), 32-58;
     
29. Tomas Azizov, Carsten Trunk
    PT Symmetric, Hermitian and P-Self-Adjoint operators related to potentials in PT Quantum Mechanics; [pdf-file]
    J. Math. Phys. Vol. 53 (2012), 012109;
     
30. Jussi Behrndt, Roland Möws, Carsten Trunk 
     Eigenvalue estimates for singular left-definite Sturm-Liouville operators; [pdf-file] 
    J. Spectr. Theory Vol. 1 (2011), 327-347;
     
31. Sergii Kuzhel, Carsten Trunk
    On a class of J-self-adjoint operators with empty resolvent set; [pdf-file]
    J. Math. Anal. Appl. Vol. 379 (2011), 272–289;
     
32. Friedrich Philipp, Franciszek Hugon Szafraniec, Carsten Trunk
     Selfadjoint operators in S-Spaces; [pdf-file]
    J. Funct. Anal. Vol. 260 (2011), 1045-1059; 
     
33. Tomas Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Spectral points of definite type and type pi for linear operators and relations in Krein spaces; [pdf-file] 
    J. London Math. Soc. Vol. 83 (2011), 768-–788.
     
34. Tomas Azizov, Peter Jonas, Carsten Trunk
    Small perturbation of selfadjoint and unitary operators in Krein spaces; [pdf-file]
    J. Operator Theory Vol. 64 (2010), 401-416; 
     
35. Tomas Azizov, Carsten Trunk
    On domains of PT Symmetric operators related to -y''(x) + (-1)^n x^{2n}y(x); [pdf-file]
     J. Phys. A: Math. Theor. Vol. 43 (2010), 175303 
     
36. Mark-Alexander Henn, Christian Mehl, Carsten Trunk
     Hyponormal and strongly Hyponormal matrices in Inner Product Spaces;
    Linear Algebra Appl. Vol. 433 (2010), 1055-1076; [pdf-file] 
     
37.  Carsten Trunk 
     Analyticity of semigroups related to a class of block operator matrices; [pdf-file]  
     Operator Theory: Advances and Applications Vol. 195 (2009), 257-271. 
     
38. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk 
     Non-Real eigenvalues of singular indefinite Sturm-Liouville operators;
     Proc. Amer. Math. Soc. Vol. 137 (2009), 3797-3806; [pdf-file]  
     
39. Birgit Jacob, Carsten Trunk 
    Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics; [pdf-file]
    Semigroup Forum Vol. 79 (2009), 79-100.
     
40. Friedrich Philipp, Carsten Trunk 
    G-Selfadjoint operators in Almost Pontryagin spaces; [pdf-file]
    Operator Theory: Advances and Applications Vol. 188 (2009) 207-236. 
     
41. Tomas Azizov, Jussi Behrndt, Peter Jonas, Carsten Trunk
    Compact and finite rank perturbations of linear relations in Hilbert spaces; [pdf-file]
    Integral Equations Operator Theory Vol. 63 (2009) 151-163. 
     
42. Tomas Azizov, Jussi Behrndt, Friedrich Philipp, Carsten Trunk
     On domains of powers of linear operators and finite rank perturbations; [pdf-file]
     Operator Theory: Advances and Applications Vol. 188 (2009), 31-36.
     
43. Illya Karabash, Carsten Trunk
     Spectral properties of singular Sturm-Liouville operators; [pdf-file]
     Proc. R. Soc. Edinb. Sect. A. Vol. 139 (2009), 483-503.
     
44. Vladimir Strauss, Carsten Trunk
     Spectralizable operators; [pdf-file]
     Integral Equations Operator Theory Vol. 61 (2008) 413-422.
     
45. Jussi Behrndt, Qutaibeh Katatbeh, Carsten Trunk
     Accumulation of complex eigenvalues of indefinite Sturm-Liouville operators; [pdf-file]
    J. Phys. A: Math. Theor. Vol. 41 (2008) 244003.
     
46. Birgit Jacob, Carsten Trunk, Monika Winklmeier
    Analyticity and Riesz basis property of semigroups associated to damped vibrations;
     Journal of Evolution Equations Vol. 8 (2008), 263-281.
     
47. Carsten Trunk
     Spectral theory for operator matrices related to models in mechanics;
     Math. Notes, Vol. 83 (2008), 843-850.
     
48. Tomas Azizov, Jussi Behrndt, Carsten Trunk
     On finite rank perturbations of definitizable operators;
     J. Math. Anal. Appl. Vol. 339 (2008), 1161-1168. 
     
49. Birgit Jacob, Kirsten Morris, Carsten Trunk 
     Minimum-Phase infinite-dimensional second-order systems;
     IEEE Transactions on Automatic Control Vol. 52 (2007), 1654-1665.
     
50. Peter Jonas, Carsten Trunk
     A Sturm-Liouville problem depending rationally on the eigenvalue parameter;
     Math. Nachr. Vol. 280 (2007), 1709-1726.
     
51. Jussi Behrndt, Carsten Trunk
     On the negative squares of indefinite Sturm-Liouville operators;
     J. Differential Equations, Vol. 238 (2007), 491-519; 
     
52. Birgit Jacob, Carsten Trunk
     Location of the spectrum of operator matrices which are associated to second order equations;
     Operators and Matrices, Vol. 1 (2007), 45-60;
     
53. Christian Mehl, Carsten Trunk
     The adjoint of matrices in degenerate indefinite inner product spaces;
     Operator Theory: Advances and Applications Vol. 175 (2007), 193-209; 
     
54. Jussi Behrndt, Annemarie Luger, Carsten Trunk
     Generalized resolvents of a class of symmetric operators in Krein spaces.
     Operator Theory: Advances and Applications Vol. 175 (2007), 13-33;
     
55. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
     Properties of the spectrum of type pi+ and type pi- of self-adjoint operators in Krein spaces;
     Methods Funct. Anal. Topology Vol. 12 (2006), 326-340; 
     
56. Jussi Behrndt, Carsten Trunk
     Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions;
     J. Differential Equations Vol. 222 (2006), 297-324; 
     
57.  Tomas Ya. Azizov, Peter Jonas, Carsten Trunk
     Spectral points of type $pi_{+}$ and $pi_{-}$ of self-adjoint operators in Krein spaces.
     J. Funct. Anal. Vol. 226 (2005), 114-137; 
     
58.  Peter Jonas, Carsten Trunk
     On a class of analytic operator functions and their linearizations.
     Math. Nachr. Vol. 243 (2002), 92-133. 

1. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
   The non-real spectrum of a singular indefinite Sturm–Liouville operator with regular left endpoint
   submitted to Proc. Appl. Math. Mech.; pdf-file
    
2. Jussi Behrndt, Bernhard Gsell, Philipp Schmitz, Carsten Trunk
   An estimate on the non-real spectrum of a singular indefinite Sturm-Liouville operator,
   Proc. Appl. Math. Mech. 17 (2017), 859-860; pdf-file
    
3. Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, Michal Wojtylak
   A New bound for the distance to singularity of a regular matrix pencil,
   Proc. Appl. Math. Mech. 17 (2017), 863-864; pdf-file
    
4. Jean Pierre Bergmann, Martin Bielenin, Roland Herzog, Jörg Hildebrand, Ilka Riedel, Klaus Schricker, Carsten Trunk, Karl Worthmann
   Prevention of solidification cracking during pulsed laser beam welding,
   Proc. Appl. Math. Mech. 17 (2017), 405-406; pdf-file
    
5. Hannes Gernandt, Dominik Krauße, Carsten Trunk, Ralf Sommer
   A new method for network redesign via rank one updates,
   Proc. Appl. Math. Mech. 17 (2017), 857-858; pdf-file
    
6. Jussi Behrndt, Philipp Schmitz, Carsten Trunk
   Bounds on the Non-real Spectrum of a Singular Indefinite Sturm-Liouville Operator on R.
   Proc. Appl. Math. Mech. 16 (2016), 881–882; pdf-file
    
7. Hannes Gernandt, Carsten Trunk
   On the parametric eigenvalue behavior of matrix pencils under rank one perturbations.
   Proc. Appl. Math. Mech. 16 (2016), 877–874; pdf-file
    
8. Florian Büttner, Carsten Trunk
   Limit-point / limit-circle classification of second-order differential operators arising in PT quantum mechanics.
   Proc. Appl. Math. Mech. 16 (2016), 871–872; pdf-file
    
9. Carsten Trunk,
   Eigenvalue estimates for operators with finitely many negative squares.
   Oberwolfach Reports 12 (2015), 17-20; [pdf-file]
    
10. Tomas Azizov, Carsten Trunk
    On a class of Sturm-Liouville operators which are connected to PT symmetric problems. 
    Proc. Appl. Math. Mech. 14 (2014), 991–992; [pdf-file]
     
11. Carsten Trunk
    Locally definitizable operators: The local structure of the spectrum.
    in: Operator Theory, D. Alpay (Ed.), pg. 241-259. Springer 2015; [pdf-file]
     
12. Vladimir Strauss, Carsten Trunk
    Some Sobolev spaces as Pontryagin spaces.
    Vestnik SUSU. Series Mathematics, Mechanics, Physics  6, No. 11 (270), 14-23 (2012); [pdf-file]
     
13. Eckhard Hennig, Dominik Krauße, Eric Schäfer, Ralf Sommer, Carsten Trunk, Henrik Winkler
    Frequency compensation for a class of DAE's arising in electrical circuits.
    Proc. Appl. Math. Mech. 11 (2011), 837-838; [pdf-file]


14. Jussi Behrndt, Friedrich Philipp, Carsten Trunk
    Definitizability of a Class of J-Selfadjoint Operators with Applications.
    Proc. Appl. Math. Mech. 9 (2009), 665-666; [pdf-file]


15. Jussi Behrndt, Roland Möws, Carsten Trunk
    Singular Indefinite Sturm-Liouville Operators with a Spectral Gap.
    Proc. Appl. Math. Mech. 9 (2009), 669-670; [pdf-file]


16. Birgit Jacob, Carsten Trunk
    On the spectrum and analyticity of semigroups associated to second-order systems.
    Proceedings 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Blacksburg, USA, (2008); [pdf-file]


17. Birgit Jacob, Carsten Trunk
    Block operator matrices and second-order systems.
    Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, (2006); [pdf-file]
     
18. Birgit Jacob, Kirsten Morris, Carsten Trunk
    Minimum-Phase behaviour of damped second-order systems with position measurements.
    Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, (2006); [pdf-file]
     
19. Birgit Jacob, Kirsten Morris, Carsten Trunk
    Minimum-Phase second-order systems and the spectrum of the semigroup generator.
    Proc. Appl. Math. Mech. 6 (2006), 631-632; [pdf-file]
     
20. Jussi Behrndt, Carsten Trunk
    On generalized resolvents of symmetric operators of defect one with finitely many negative squares.
    Proceedings AIT Conference, Vaasan Yliop. Julk. Selvityksiä Rap. 124, Vaasa, Finland (2005), 21-30; [pdf-file]

Publications

Refereed Publications

• J. Behrndt, P. Schmitz, C. Trunk, Spectral bounds for indefinite singular Sturm–Liouville operators with uniformly locally integrable potentials. J. Differ. Equations 267 (2019), 468–493. Preprint
• J. Behrndt, P. Schmitz, C. Trunk, Spectral bounds for singular indefinite Sturm–Liouville operators with L1 -potentials. Proc. Am. Math. Soc. 146 (2018), 3935–3942. Preprint

Conference Papers

• J. Behrndt, P. Schmitz, C. Trunk, The non‐real spectrum of a singular indefinite Sturm–Liouville operator with regular left endpoint, Proc. appl. Math. Mech. 19 (2019). Preprint
• J. Behrndt, B. Gsell, P. Schmitz, C. Trunk, An estimate on the non-real spectrum of a singular indefinite Sturm–Liouville operator, Proc. appl. Math. Mech. 17 (2017), 859–860. Preprint
• J. Behrndt, P. Schmitz, C. Trunk, Bounds on the non-real spectrum of a singular indefinite Sturm–Liouville operator on R, Proc. appl. Math. Mech. 16 (2016), 881–882. Preprint

Publications