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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 4, Pages 82–86
DOI: https://doi.org/10.4213/faa3146 (Mi faa3146) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Brief communications

On Vector-Valued Banach Limits

R. Armario, F. J. Garcia-Pacheco, F. J. Perez-Fernandez

Universidad de Cadiz
Full-text PDF (157 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa3146
Abstract: In this brief communication we propose a vector-valued version of Lorentz' intrinsic characterization of almost convergence, for which we find a legitimate extension of the concept of Banach limit to vector-valued sequences. Banach spaces $1$-complemented in their biduals admit vector-valued Banach limits, whereas $c_0$ does not.
Keywords: Banach limit, almost convergence.
Received: 30.10.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 4, Pages 315–318
DOI: https://doi.org/10.1007/s10688-013-0038-4
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. Armario, F. J. Garcia-Pacheco, F. J. Perez-Fernandez, “On Vector-Valued Banach Limits”, Funktsional. Anal. i Prilozhen., 47:4 (2013), 82–86; Funct. Anal. Appl., 47:4 (2013), 315–318
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:38
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