Functional decompositions on vector-valued function spaces via operators

DOI10.1016/j.jmaa.2011.12.057zbMath1244.47035OpenAlexW2043457028MaRDI QIDQ764958

Sing-Cheong Ong, Titarii Wootijirattikal, Jitti Rakbud

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.057

zbMATH Keywords

decompositionBanach space\(C^\ast\)-algebrastate spaceweak\({}^\ast\) topology

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) States of selfadjoint operator algebras (46L30) Decomposition theory for (C^*)-algebras (46L45) Linear operators in (C^*)- or von Neumann algebras (47C15) Dual spaces of operator algebras (47L50)

Related Items (2)

Corrigendum to ``Functional decompositions on vector-valued function spaces via operators ⋮ Matrix operators on function-valued function spaces

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• M-ideal structure in Banach algebras
• A decomposition for B(X)\(^*\) and unique Hahn-Banach extensions
• Structure in real Banach spaces. I and II
• Les fonctionnelles linéaires sur l'ensemble des opérateurs bornes d'un espace de Hilbert
• A Characterization of Subspaces X of l p for which K(X) is an M- Ideal in L(X)
• APPLICATIONS OF CONVEXITY AND M-IDEAL THEORY TO QUOTIENT BANACH ALGEBRAS
• An Introduction to Banach Space Theory
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