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

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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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
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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