On the negative squares of a class of self-adjoint extensions in Krein spaces

Jussi Behrndt; Annemarie Luger; Carsten Trunk

doi:10.1002/mana.201000154

On the negative squares of a class of self-adjoint extensions in Krein spaces

Mathematische Nachrichten ◽

10.1002/mana.201000154 ◽

2013 ◽

Vol 286 (2-3) ◽

pp. 118-148 ◽

Cited By ~ 7

Author(s):

Jussi Behrndt ◽

Annemarie Luger ◽

Carsten Trunk

Keyword(s):

Krein Spaces ◽

Negative Squares

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Coherent States in Fermionic Fock-Krein Spaces and Their Amplitudes

Springer Proceedings in Physics - Coherent States and Their Applications ◽

10.1007/978-3-319-76732-1_12 ◽

2018 ◽

pp. 243-263

Author(s):

Robert Oeckl

Keyword(s):

Coherent States ◽

Krein Spaces

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On the existence of directed rings and algebras with negative squares

Journal of Algebra ◽

10.1016/j.jalgebra.2005.10.039 ◽

2006 ◽

Vol 295 (2) ◽

pp. 452-457 ◽

Cited By ~ 8

Author(s):

YiChuan Yang

Keyword(s):

Negative Squares ◽

Rings And Algebras

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Multiplicative perturbations of positive operators in Krein spaces

Contributions to Operator Theory in Spaces with an Indefinite Metric ◽

10.1007/978-3-0348-8812-7_18 ◽

1998 ◽

pp. 327-336 ◽

Cited By ~ 1

Author(s):

B. Najman ◽

K. Veselić

Keyword(s):

Positive Operators ◽

Krein Spaces

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Tomita's spectral analysis in Krein spaces

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195177625 ◽

1986 ◽

Vol 22 (4) ◽

pp. 637-658 ◽

Cited By ~ 2

Author(s):

Yoshiomi Nakagami

Keyword(s):

Spectral Analysis ◽

Krein Spaces

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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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Positive Operators on Krein Spaces

Positive Operators and Semigroups on Banach Lattices ◽

10.1007/978-94-017-2721-1_1 ◽

1992 ◽

pp. 1-22

Author(s):

Y. A. Abramovich ◽

C. D. Aliprantis ◽

O. Burkinshaw

Keyword(s):

Positive Operators ◽

Krein Spaces

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Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124597 ◽

2021 ◽

Vol 494 (2) ◽

pp. 124597

Author(s):

Heinz Langer ◽

Christiane Tretter

Keyword(s):

Invariant Subspaces ◽

Selfadjoint Operators ◽

Krein Spaces

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Optimal normal projections in Krein spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2015.10.015 ◽

2016 ◽

Vol 490 ◽

pp. 77-101 ◽

Cited By ~ 1

Author(s):

Juan I. Giribet ◽

Alejandra Maestripieri ◽

Francisco Martínez Pería

Keyword(s):

Krein Spaces

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Complementation in Krein Spaces

Transactions of the American Mathematical Society ◽

10.2307/2001053 ◽

1988 ◽

Vol 305 (1) ◽

pp. 277 ◽

Cited By ~ 7

Author(s):

Louis De Branges

Keyword(s):

Krein Spaces

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Contractions and the Commutant Lifting Theorem in Kreĭn Spaces

Operator Theory ◽

10.1007/978-3-0348-0667-1_33 ◽

2015 ◽

pp. 219-239

Author(s):

Michael Dritschel

Keyword(s):

Krein Spaces ◽

Commutant Lifting ◽

Commutant Lifting Theorem

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