New classes of Banach spaces which are M-ideals in their biduals

DOI10.1017/S0305004100075447zbMath0787.46020MaRDI QIDQ4004624

Dirk Werner

Publication date: 27 September 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

sequence spaces\(M\)-idealLorentz spaces\(L\)-projectionBloch spacesoperator spacesspaces of measurable functionsspaces of analytic functionsSchreier spacesBanach spaces which are \(M\)-ideals in their bidualsnon-isometric \(M\)-embedded spaces with Banach-Mazur distance 1

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

On holomorphic functions attaining their norms ⋮ SOME REMARKS ON THE SCHUR APPROXIMATION PROPERTY ⋮ \(E^ \Phi\) and \(h^ \Phi\) fail to be \(M\)-ideals in \(L^ \Phi\) and \(\ell^ \Phi\) in the case of the Orlicz norm ⋮ Non-commutative analogues of weak compactness criteria in symmetric spaces ⋮ On norm-attainment in (symmetric) tensor products ⋮ Biduality in weighted spaces of analytic functions ⋮ Denseness of holomorphic functions attaining their numerical radii ⋮ Compactness, Optimality, and Risk ⋮ Orlicz spaces with a \(o\)-\(O\) type structure ⋮ M-embedded symmetric operator spaces and the derivation problem ⋮ Diameter 2 properties and convexity ⋮ M-ideals of compact operators into ℓp ⋮ Norm-attaining operators into strictly convex Banach spaces ⋮ Duality and distance formulas in Banach function spaces ⋮ On properties of \(M\)-ideals ⋮ Weighted Banach spaces of entire functions ⋮ Group invariant operators and some applications to norm-attaining theory

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