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Structure of Cesàro function spaces: a survey

Tom 102 / 2014

Sergey V. Astashkin, Lech Maligranda Banach Center Publications 102 (2014), 13-40 MSC: 46E30, 46B20, 46B42. DOI: 10.4064/bc102-0-1

Streszczenie

Geometric structure of Cesàro function spaces $Ces_p(I)$, where $I = [0, 1]$ and $[0, \infty)$, is investigated. Among other matters we present a description of their dual spaces, characterize the sets of all $q\in [1,\infty]$ such that $Ces_p[0,1]$ contains isomorphic and complemented copies of $l_q$-spaces, show that Cesàro function spaces fail the fixed point property, give a description of subspaces generated by Rademacher functions in spaces $Ces_p[0,1]$.

Autorzy

  • Sergey V. AstashkinDepartment of Mathematics and Mechanics
    Samara State University
    Acad. Pavlova 1
    443011 Samara, Russia
    e-mail
  • Lech MaligrandaDepartment of Mathematics
    Luleå University of Technology
    SE-971 87 Luleå, Sweden
    e-mail

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