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On Strictly Singular and Strictly Cosingular Embeddings Between Banach Lattices of Functions

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Cobos, Fernando and Pustylnik, E. (2002) On Strictly Singular and Strictly Cosingular Embeddings Between Banach Lattices of Functions. Mathematical Proceedings of the Cambridge Philosophical Society, 133 (Part 1). pp. 183-190. ISSN 0305-0041

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Abstract

Let E be a Banach function lattice such that L1[0; 1] ,! E ,! L1[0; 1]. We characterize the strict singularity of the embedding L1[0; 1] ,! E and the strict cosingularity of E ,! L1[0; 1] in terms of functionals de_ned by using characteristic functions.


Item Type:Article
Uncontrolled Keywords:Spaces; Interpolation; Inclusions; Mathematics
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15145
Deposited On:09 May 2012 10:53
Last Modified:18 Feb 2019 12:13

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