On generalized weighted means and compactness of matrix operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015 English Publisher:Springer Science and Business Media LLCJournal:Annals of Functional Analysis, volume 6, pages 8-28 (eissn: 2008-8752,

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Authors: Karaisa, Ali;

doi: 10.15352/afa/06-3-2

On generalized weighted means and compactness of matrix operators

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Abstract

This paper mainly divided into two parts. The first part gives same facts about topological properties of certain linear topological spaces, inclusion relations and matrix mappings. The second part establishes some identities or estimates for the matrix operator norms and the Hausdorff measures of noncompactness of certain matrix operators, characterize some classes of compact operators on these spaces.

Keywords

40C05, 46A45, matrix operator, compactness, generalized weighted mean, 40H05, BK-space

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