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This article is cited in 4 scientific papers (total in 4 papers)
Brief communications
Geometry of Cesàro Function Spaces
S. V. Astashkina, L. Maligrandab
a Samara State University
b Luleå University of Technology
Abstract:
Geometric properties of Cesàro function spaces $\operatorname{Ces}_{p}(I)$, where $I=[0,\infty)$ or
$I=[0,1]$, are investigated. In both cases, a description of their dual spaces for $1<p<\infty$ is
given. We find the type and the cotype of Cesàro spaces and present a complete characterization
of the spaces $l^q$ that have isomorphic copies in $\operatorname{Ces}_{p}[0,1]$ ($1\le p<\infty$).
Keywords:
Cesàro space, Köthe dual space, dual space, $q$-concave Banach space, type and cotype of a Banach space, Dunford–Pettis property
DOI:
https://doi.org/10.4213/faa3024
 Full text:
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English version:
Functional Analysis and Its Applications, 2011, 45:1, 64–68
Bibliographic databases:
   
UDC:
517.982.27+517.982.25
Received: 06.03.2009
Citation:
S. V. Astashkin, L. Maligranda, “Geometry of Cesàro Function Spaces”, Funktsional. Anal. i Prilozhen., 45:1 (2011), 79–83; Funct. Anal. Appl., 45:1 (2011), 64–68
Citation in format AMSBIB
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\pages 79--83
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Linking options:
http://mi.mathnet.ru/eng/faa3024https://doi.org/10.4213/faa3024 http://mi.mathnet.ru/eng/faa/v45/i1/p79
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Carrillo-Alanis J., “Rademacher Functions in Weighted Cesaro Spaces”, Studia Math., 217:1 (2013), 19–40
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Astashkin S.V., Maligranda L., “Structure of Rademacher Subspaces in Cesaro Type Spaces”, Studia Math., 226:3 (2015), 259–279
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Mursaleen M., Aghajani A., Raj K., “Multiplication operators on Cesàro function spaces”, Filomat, 30:5 (2016), 1175–1184
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Gogatishvili A., Mustafayev R., Unver T., “Embeddings Between Weighted Copson and Cesaro Function Spaces”, Czech. Math. J., 67:4 (2017), 1105–1132
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