descriptionPublicationkeyboard_double_arrow_right Article 13 Sep 2012 English Publisher:Springer Science and Business Media LLCJournal:Positivity, volume 17, pages 775-791 (issn: 1385-1292, eissn: 1572-9281,

Authors: Calabuig Rodriguez, Jose Manuel; Rodríguez Ruiz, José; Sánchez Pérez, Enrique Alfonso;

doi: 10.1007/s11117-012-0204-6

handle: 10251/47866

Strongly embedded subspaces of p-convex Banach function spaces

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Abstract

Let be a p-convex () order continuous Banach function space over a positive finite measure . We characterize the subspaces of which can be found simultaneously in and a suitable space, where is a positive finite measure related to the representation of as an space of a vector measure . We provide in this way new tools to analyze the strict singularity of the inclusion of in such an space. No rearrangement invariant type restrictions on are required.

J.M. Calabuig was supported by Ministerio de Economia y Competitividad (project MTM2011-23164) (Spain). J. Rodriguez was supported by Ministerio de Economia y Competitividad (project MTM2011-25377) (Spain). E. A. Sanchez-Perez was supported by Ministerio de Economia y Competitividad (project MTM2009-14483-C02-02) (Spain).

Related Organizations

Universitat Politècnica de València
Spain
University of Murcia
Spain

Keywords

Strongly embedded subspace, Vector measure, Strictly singular operator, MATEMATICA APLICADA, P-Convex Banach function space

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