Spectral points of type <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msub></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msub></mml:math> of self-adjoint operators in Krein spaces

Tomas Ya. Azizov; Peter Jonas; Carsten Trunk

doi:10.1016/j.jfa.2005.03.009

Spectral points of type π+ and π- of self-adjoint operators in Krein spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2005.03.009 ◽

2005 ◽

Vol 226 (1) ◽

pp. 114-137 ◽

Cited By ~ 17

Author(s):

Tomas Ya. Azizov ◽

Peter Jonas ◽

Carsten Trunk

Keyword(s):

Krein Spaces ◽

Adjoint Operators

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Joint Functional Calculus for Definitizable Self-adjoint Operators on Krein Spaces

Integral Equations and Operator Theory ◽

10.1007/s00020-020-02588-3 ◽

2020 ◽

Vol 92 (4) ◽

Author(s):

Michael Kaltenbäck ◽

Nathanael Skrepek

Keyword(s):

Functional Calculus ◽

Krein Spaces ◽

Adjoint Operators

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On J-self-adjoint operators with stable C-symmetries

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210511001387 ◽

2013 ◽

Vol 143 (1) ◽

pp. 141-167 ◽

Cited By ~ 5

Author(s):

Seppo Hassi ◽

Sergii Kuzhel

Keyword(s):

Symmetric Operator ◽

Reproducing Kernel ◽

Boundary Value ◽

Functional Model ◽

Kernel Space ◽

Reproducing Kernel Space ◽

Krein Spaces ◽

Adjoint Operators

The paper is devoted to the development of the theory of self-adjoint operators in Krein spaces (J-self-adjoint operators) involving some additional properties arising from the existence of C-symmetries. We mainly focus on the recent notion of stable C-symmetry for J-self-adjoint extensions of a symmetric operator S. The general results involve boundary value techniques and reproducing kernel space methods, and they include an explicit functional model for the class of stable C-symmetries. Some of the results are specialized further by studying the case where S has defect numbers 〈2,2〉 in detail.

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Spectrum of definite type of self-adjoint operators in Krein spaces

Linear and Multilinear Algebra ◽

10.1080/03081080500055049 ◽

2005 ◽

Vol 53 (2) ◽

pp. 115-136 ◽

Cited By ~ 6

Author(s):

Heinz Langer ◽

Matthias Langer ◽

Alexander Markus ◽

Christiane Tretter

Keyword(s):

Krein Spaces ◽

Adjoint Operators

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On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_2

Opuscula Mathematica ◽

10.7494/opmath.2012.32.2.297 ◽

2012 ◽

Vol 32 (2) ◽

pp. 297 ◽

Cited By ~ 1

Author(s):

Sergii Kuzhel ◽

Olexiy Patsyuck

Keyword(s):

Clifford Algebra ◽

Krein Spaces ◽

Adjoint Operators

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Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation

Operator Theory: Advances and Applications - Spectral Theory and Mathematical Physics ◽

10.1007/978-3-319-29992-1_8 ◽

2016 ◽

pp. 133-148

Author(s):

Dietrich Häfner

Keyword(s):

Gordon Equation ◽

Boundary Values ◽

Krein Spaces ◽

Klein Gordon ◽

Adjoint Operators ◽

Klein Gordon Equation

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On the existence of certain semi-bounded self-adjoint operators in Hilbert space

Acta Mathematica Hungarica ◽

10.1007/bf01949121 ◽

1986 ◽

Vol 47 (1-2) ◽

pp. 29-32 ◽

Cited By ~ 4

Author(s):

Z. Sebestyén

Keyword(s):

Hilbert Space ◽

Adjoint Operators

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Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables

AIAA Journal ◽

10.2514/1.15830 ◽

2006 ◽

Vol 44 (4) ◽

pp. 827-836 ◽

Cited By ~ 40

Author(s):

Eric J. Nielsen ◽

William L. Kleb

Keyword(s):

Unstructured Grids ◽

Complex Variables ◽

Discrete Adjoint ◽

Efficient Construction ◽

Adjoint Operators

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Localization of the spectrum of certain non-self-adjoint operators

Mathematical Notes ◽

10.1007/bf01159942 ◽

1968 ◽

Vol 3 (4) ◽

pp. 264-266

Author(s):

M. M. Gekhtman

Keyword(s):

Adjoint Operators

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Singular Perturbations of Self-Adjoint Operators

Mathematical Physics Analysis and Geometry ◽

10.1023/b:mpag.0000007189.09453.fc ◽

2003 ◽

Vol 6 (4) ◽

pp. 349-384 ◽

Cited By ~ 17

Author(s):

Vladimir Derkach ◽

Seppo Hassi ◽

Henk de Snoo

Keyword(s):

Singular Perturbations ◽

Adjoint Operators

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Functions of perturbed tuples of self-adjoint operators

Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.04.010 ◽

2012 ◽

Vol 350 (7-8) ◽

pp. 349-354 ◽

Cited By ~ 2

Author(s):

Fedor Nazarov ◽

Vladimir Peller

Keyword(s):

Adjoint Operators

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