Completion and extension of operators in Krein spaces

Completion and extension of operators in Krein spaces

A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space,...

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Published in:Український математичний вісник
Date:2016
Main Author: Baidiuk, D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/145084
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-145084
record_format dspace
spelling Baidiuk, D.
2019-01-14T20:28:45Z
2019-01-14T20:28:45Z
2016
Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ.
1810-3200
https://nasplib.isofts.kiev.ua/handle/123456789/145084
2010 MSC. 46C20, 47A20, 47A63
A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space, and their defect operators are allowed to have a fixed number of negative eigenvalues. A result of Yu. L. Shmul’yan on completions of nonnegative block operators is generalized for block operators with a fixed number of negative eigenvalues in a Kreiın space.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Completion and extension of operators in Krein spaces
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Completion and extension of operators in Krein spaces
spellingShingle Completion and extension of operators in Krein spaces
Baidiuk, D.
title_short Completion and extension of operators in Krein spaces
title_full Completion and extension of operators in Krein spaces
title_fullStr Completion and extension of operators in Krein spaces
title_full_unstemmed Completion and extension of operators in Krein spaces
title_sort completion and extension of operators in krein spaces
author Baidiuk, D.
author_facet Baidiuk, D.
publishDate 2016
language English
container_title Український математичний вісник
publisher Інститут прикладної математики і механіки НАН України
format Article
description A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space, and their defect operators are allowed to have a fixed number of negative eigenvalues. A result of Yu. L. Shmul’yan on completions of nonnegative block operators is generalized for block operators with a fixed number of negative eigenvalues in a Kreiın space.
issn 1810-3200
url https://nasplib.isofts.kiev.ua/handle/123456789/145084
citation_txt Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ.
work_keys_str_mv AT baidiukd completionandextensionofoperatorsinkreinspaces
first_indexed 2025-12-07T17:51:31Z
last_indexed 2025-12-07T17:51:31Z
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