M-ideals of compact operators

DOI10.1007/BF01214796zbMath0354.47017MaRDI QIDQ5905912

Klaus Saatkamp

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172635

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Best approximation, Chebyshev systems (41A50) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear spaces of operators (47L05) Dual spaces of operator algebras (47L50)

Related Items (8)

Norm-parallelism in classical \(M\)-ideals ⋮ Best approximation in the space of bounded operators and its applications ⋮ Projections and embeddings of locally convex operator spaces and their duals ⋮ Approximate Birkhoff orthogonalities in normed spaces ⋮ BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS ⋮ On \(M\)-ideals of compact operators in Lorentz sequence spaces ⋮ Topological decompositions of the duals of locally convex operator spaces ⋮ Approximation by finite rank operators

Cites Work

• M-ideal structure in Banach algebras
• Approximation by compact operators on certain Banach spaces
• Existence d'une projection continue de meilleure approximation dans certains espaces de Banach
• A decomposition for B(X)\(^*\) and unique Hahn-Banach extensions
• The unit ball in conjugate \(L_ 1\) spaces
• Structure in real Banach spaces. I and II
• Les fonctionnelles linéaires sur l'ensemble des opérateurs bornes d'un espace de Hilbert
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