This article is cited in 8 papers

Brief communications

Geometry of Cesàro Function Spaces

S. V. Astashkin^a, L. Maligranda<sup>b

a</sup> 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.

UDC: 517.982.27+517.982.25

Received: 06.03.2009

DOI: 10.4213/faa3024

 English version: Functional Analysis and Its Applications, 2011, 45:1, 64–68

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