Structure of Rademacher subspaces in Cesàro type spaces

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

Abstrakty

EN

The structure of the closed linear span 𝓡 of the Rademacher functions in the Cesàro space $Ces_{∞}$ is investigated. It is shown that every infinite-dimensional subspace of 𝓡 either is isomorphic to l₂ and uncomplemented in $Ces_{∞}$, or contains a subspace isomorphic to c₀ and complemented in 𝓡. The situation is rather different in the p-convexification of $Ces_{∞} $ if 1 < p < ∞.

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: Studia Mathematica
• Rocznik: 2015
• Tom: 226
• Numer: 3
• Strony: 259-279

Daty

wydano

2015

Twórcy

autor

Sergey V. Astashkin

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

autor

Lech Maligranda

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

Identyfikatory

DOI

10.4064/sm226-3-4