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Sbornik: Mathematics, 2008, Volume 199, Issue 3, Pages 459–475
DOI: https://doi.org/10.1070/SM2008v199n03ABEH003928 (Mi sm3814) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multirectangular characteristics for Köthe power spaces of the second kind

P. A. Chalov

Southern Federal University
English version PDF (349 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2008v199n03ABEH003928
Abstract: Isomorphisms of the so-called Köthe power spaces of the second kind are considered. These spaces are determined by a pair of sequences of positive numbers. Counting functions for a pair of sequences ($m$-rectangular characteristics of the corresponding Köthe space of the second kind) are introduced. They are shown to be invariant under isomorphisms. The proof is based on the construction of special compound invariants suitable for the class of spaces under consideration. New results on the linear topological structure of spaces of analytic functions in multicircular domains are obtained as an application.
Bibliography: 29 titles.
Received: 29.11.2006 and 06.09.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 3, Pages 143–159
DOI: https://doi.org/10.4213/sm3814
Bibliographic databases:
UDC: 517.982.257+517.982.276
MSC: 46A45, 32A37
Language: English
Original paper language: Russian
Citation: P. A. Chalov, “Multirectangular characteristics for Köthe power spaces of the second kind”, Mat. Sb., 199:3 (2008), 143–159; Sb. Math., 199:3 (2008), 459–475
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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