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On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces.

Authors :
Juršėnas, Rytis
Source :
Complex Analysis & Operator Theory; Jul2023, Vol. 17 Issue 5, p1-39, 39p
Publication Year :
2023

Abstract

It is a classical result that the Weyl function of a simple symmetric operator in a Hilbert space determines a boundary triple uniquely up to unitary equivalence. We generalize this result to a simple symmetric operator in a Pontryagin space, where unitary equivalence is replaced by the similarity realized via a standard unitary operator. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16618254
Volume :
17
Issue :
5
Database :
Complementary Index
Journal :
Complex Analysis & Operator Theory
Publication Type :
Academic Journal
Accession number :
164713597
Full Text :
https://doi.org/10.1007/s11785-023-01361-9