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INHALTE

Refereed Publications

Refereed Publications

     
  1. Jussi Behrndt, Philipp Schmitz, Carsten Trunk,
    Spectral bounds for singular indefinite Sturm-Liouville operators with L^1-potentials;
    eingereicht.


  2. Birgit Jacob, Christiane Tretter, Carsten Trunk, Hendrik Vogt,
    Numerical Range and Quadratic Numerical Range for Damped Systems;
    eingereicht.

  3. Vladimir Derkach, Carsten Trunk,
    Coupling of Definitizable Operators in Krein Spaces;
    eingereicht.

  4. Juan Giribet, Matthias Langer, Leslie Leben, Alejandra Maestripieri, Francisco Martinez Peria, Carsten Trunk
    Spectrum of J-frame Operators, eingereicht.

  5. Andrei .A. Shkalikov, C. Trunk
    On stability of closeness and self-adjointness for 2x2 operator matrices,
    Math. Notes 100 (2016), 870-875;

  6. Jussi Behrndt, Roland Möws, Carsten Trunk
    Eigenvalue estimates for operators with finitely many negative squares; pdf-file
    Opusc. Math. 36 (2016), 717-734;

  7. 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;

  8. Thomas Berger, Carsten Trunk, Henrik Winkler
    Linear relations and the Kronecker canonical form; pdf-file
    Linear Algebra Appl. 488 (2016), 13-44;

  9. 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;

  10. Junjie Huang, Junfeng Sun, Alatancang Chen, Carsten Trunk
    The invertibility of 2x2 operator matrices; pdf-file
    to appear in J. Operator Theory;

  11. 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;

  12. 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;
     
  13. 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;

  14. 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;

  15. 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;

  16. 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;

  17. 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;

  18. Friedrich Philipp, Carsten Trunk
    The numerical range of non-negative operators in Krein spaces; [pdf-file]
    Linear Algebra Appl. Vol. 438 (2013),  2542–2556;

  19. Friedrich Philipp, Vladimir Strauss, Carsten Trunk
     Local spectral theory for normal operators in Krein spaces; [pdf-file]
    Math. Nachr. Vol. 286 (2013), 32-58;

  20. 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;

  21. 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;

  22. 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;
     
  23. Friedrich Philipp, Franciszek Hugon Szafraniec, Carsten Trunk
     Selfadjoint operators in S-Spaces; [pdf-file]
    J. Funct. Anal. Vol. 260 (2011), 1045-1059; 
     
  24. 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.
     
  25. 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; 
     
  26. 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 
     
  27. 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] 
     
  28.  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. 
     
  29. 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]  
     
  30. Birgit Jacob, Carsten Trunk 
    Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics; [pdf-file]
    Semigroup Forum Vol. 79 (2009), 79-100. 

  31. Friedrich Philipp, Carsten Trunk 
    G-Selfadjoint operators in Almost Pontryagin spaces; [pdf-file]
    Operator Theory: Advances and Applications Vol. 188 (2009) 207-236. 
     
  32. 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. 
     
  33. 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. 

  34. Illya Karabash, Carsten Trunk
     Spectral properties of singular Sturm-Liouville operators; [pdf-file]
     Proc. R. Soc. Edinb. Sect. A. Vol. 139 (2009), 483-503. 

  35. Vladimir Strauss, Carsten Trunk
     Spectralizable operators; [pdf-file]
     Integral Equations Operator Theory Vol. 61 (2008) 413-422. 

  36. 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.

  37. 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.

  38. Carsten Trunk
     Spectral theory for operator matrices related to models in mechanics;
     Math. Notes, Vol. 83 (2008), 843-850. 

  39. Tomas Azizov, Jussi Behrndt, Carsten Trunk
     On finite rank perturbations of definitizable operators;
     J. Math. Anal. Appl. Vol. 339 (2008), 1161-1168. 
     
  40. Birgit Jacob, Kirsten Morris, Carsten Trunk 
     Minimum-Phase infinite-dimensional second-order systems;
     IEEE Transactions on Automatic Control Vol. 52 (2007), 1654-1665. 

  41. Peter Jonas, Carsten Trunk
     A Sturm-Liouville problem depending rationally on the eigenvalue parameter;
     Math. Nachr. Vol. 280 (2007), 1709-1726. 

  42. Jussi Behrndt, Carsten Trunk
     On the negative squares of indefinite Sturm-Liouville operators;
     J. Differential Equations, Vol. 238 (2007), 491-519; 
     
  43. 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; 

  44. Christian Mehl, Carsten Trunk
     The adjoint of matrices in degenerate indefinite inner product spaces;
     Operator Theory: Advances and Applications Vol. 175 (2007), 193-209; 
     
  45. 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; 

  46. 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; 
     
  47. Jussi Behrndt, Carsten Trunk
     Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions;
     J. Differential Equations Vol. 222 (2006), 297-324; 
     
  48.  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; 
     
  49.  Peter Jonas, Carsten Trunk
     On a class of analytic operator functions and their linearizations.
     Math. Nachr. Vol. 243 (2002), 92-133.