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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

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Volume 4, Issue 1


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

A. K. Katsaras / C. Perez-Garcia
  • Departamento de Matematicas, Facultad de Ciencias, Universidad de Cantabria, 39071 Santander, Spain
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Published Online: 2010-02-23 | DOI: https://doi.org/10.1515/GMJ.1997.27


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 Λ0c 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, [De Grande-De Kimpe, Proc. Konink. Nederl. Akad. Wetensch A75: 113–129, 1972]–[Kiyosawa, Canad. Math. Bull. 32: 450–458, 1989])

Key words and phrases.: p-adic functional analysis; Köthe sequence spaces; nuclearity; compactoidity

About the article

Received: 1995-04-11

Published Online: 2010-02-23

Published in Print: 1997-02-01

Citation Information: Georgian Mathematical Journal, Volume 4, Issue 1, Pages 27–40, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/GMJ.1997.27.

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