Finite-Codimensional Compressions of Symmetric and Self-Adjoint Linear Relations in Krein Spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-09

AUTHORS

Tomas Azizov, B. Ćurgus, Aad Dijksma

ABSTRACT

Theorems due to Stenger (Bull Am Math Soc 74:369–372, 1968) and Nudelman (Int Equ Oper Theory 70:301–305, 2011) in Hilbert spaces and their generalizations to Krein spaces in Azizov and Dijksma (Int Equ Oper Theory 74(2):259–269, 2012) and Azizov et al. (Linear Algebra Appl 439:771–792, 2013) generate additional questions about properties a finite-codimensional compression T0 of a symmetric or self-adjoint linear relation T may or may not inherit from T. These questions concern existence of invariant maximal nonnegative subspaces, definitizability, singular critical points and defect indices. More... »

PAGES

71-95

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-016-2313-2

DOI

http://dx.doi.org/10.1007/s00020-016-2313-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1005012526


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