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Λ0-Nuclear Operators and Λ0-Nuclear Spaces in p-adic Analysis

Λ0-Nuclear Operators and Λ0-Nuclear Spaces in p-adic Analysis For a Köthe sequence space, the classes of Λ0-nuclear spaces and spaces with the Λ0-property are introduced and studied and the relation between them is investigated. Also, we show that, for Λ0≠c 0, these classes of spaces are in general different from the corresponding ones for Λ0=c 0, which have been extensively studied in the non-archimedean literature (see, for example, [1]–[6]). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal Springer Journals

Λ0-Nuclear Operators and Λ0-Nuclear Spaces in p-adic Analysis

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Plenum Publishing Corporation
Subject
Mathematics; Mathematics, general
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1023/A:1022160830312
Publisher site
See Article on Publisher Site

Abstract

For a Köthe sequence space, the classes of Λ0-nuclear spaces and spaces with the Λ0-property are introduced and studied and the relation between them is investigated. Also, we show that, for Λ0≠c 0, these classes of spaces are in general different from the corresponding ones for Λ0=c 0, which have been extensively studied in the non-archimedean literature (see, for example, [1]–[6]).

Journal

Georgian Mathematical JournalSpringer Journals

Published: Oct 17, 2004

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