Selfadjoint operators in S-spaces

DOI10.1016/j.jfa.2010.10.023zbMath1215.47032OpenAlexW2130567534MaRDI QIDQ629697

Carsten Trunk, Friedrich Philipp, Franciszek Hugon Szafraniec

Publication date: 9 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.10.023

zbMATH Keywords

Krein spaceinvariant subspacesselfadjoint operatorsS-spaceindefinite inner products

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Invariant subspaces of linear operators (47A15) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

• Hyponormal and strongly hyponormal matrices in inner product spaces
• The Krein formula for generalized resolvents in degenerated inner product spaces
• The order of neutrality for linear operators on inner product spaces
• Locally definite operators in indefinite inner product spaces
• Selfadjoint extensions of symmetric operators in degenerated inner product spaces
• Symmetric matrices with respect to sesquilinear forms
• Dissymmetrising inner product spaces
• G-Self-adjoint Operators in Almost Pontryagin Spaces
• Two-sided Weighted Shifts Are ‘Almost Krein’ Normal
• Shells of matrices in indefinite inner product spaces
• An Operator Theoretic Approach to Degenerated Nevanlinna‐Pick Interpolation
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