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Pontryagin-Krein theorem: Lomonosov's proof and related results

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Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V. (2020) Pontryagin-Krein theorem: Lomonosov's proof and related results. In: Advances in Analysis and Geometry, The Mathematical Legacy of Victor Lomonosov. Operator Theory. De Gruyter, Berlin, Boston, pp. 231-250. ISBN 978-3-11-065339-7

Abstract

We discuss Lomonosov's proof of the Pontryagin-Krein Theorem on invariant maximal non-positive subspaces, prove the refinement of one theorem from [22] on common fixed points for a group of fractional-linear maps of operator ball and deduce its consequences. Some Burnside-type counterparts of the Pontryagin-Krein Theorem are also considered.

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Details
Title:
Pontryagin-Krein theorem: Lomonosov's proof and related results
Creators:
Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V.
Official URL:
https://www.degruyter.com/view/title/554442
Date:
2020
Subjects:
500 Natural Sciences and Mathematics > 510 Mathematics
Department:
School of Computing and Digital Media
Publisher:
De Gruyter
Uncontrolled Keywords:
invariant subspace; Pontryagin space; Krein space; indefinite metric
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/5172
Item Type:
Book Section
Depositing User:
Edward Kissin
Date Deposited:
01 Sep 2020 11:04
Revision:
16
Last Modified:
01 Sep 2020 11:04
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