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
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2019 Pontryagin-Krein Theorem. Lomonosov's proof and related results.pdf - Accepted Version Restricted to Repository staff only Download (139kB) | Request a copy |
Official URL: https://www.degruyter.com/view/title/554442
Abstract / Description
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.
Item Type: | Book Section |
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Uncontrolled Keywords: | invariant subspace; Pontryagin space; Krein space; indefinite metric |
Subjects: | 500 Natural Sciences and Mathematics > 510 Mathematics |
Department: | School of Computing and Digital Media |
Depositing User: | Edward Kissin |
Date Deposited: | 01 Sep 2020 11:04 |
Last Modified: | 01 Sep 2020 11:04 |
URI: | https://repository.londonmet.ac.uk/id/eprint/5172 |
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