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

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 t...

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Bibliographic Details
Main Authors: Kissin, Edward, Shulman, Victor S., Turovskii, Yuri V.
Format: Book Section
Language:English
Published: De Gruyter 2020
Subjects:
Online Access:https://repository.londonmet.ac.uk/5172/1/2019%20Pontryagin-Krein%20Theorem.%20Lomonosov%27s%20proof%20and%20related%20results.pdf