Structure of Cesàro function spaces: a survey

• Autorzy: Sergey V. Astashkin , Lech Maligranda
• Języki publikacji: EN

Abstrakty

EN

Geometric structure of Cesàro function spaces $Ces_p(I)$, where I = [0,1] and [0,∞), is investigated. Among other matters we present a description of their dual spaces, characterize the sets of all q ∈ [1,∞] 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 $Ces_p[0,1]$.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 102
• Numer: 1
• Strony: 13-40

Daty

wydano

2014

Twórcy

autor

Sergey V. Astashkin

• Department of Mathematics and Mechanics, Samara State University, Acad. Pavlova 1, 443011 Samara, Russia

autor

Lech Maligranda

• Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden

Identyfikatory

DOI

10.4064/bc102-0-1