Weakly unconditionally convergent series in M-ideals.

DOI10.7146/math.scand.a-12260zbMath0676.46006OpenAlexW31278124MaRDI QIDQ3831474

Gilles Godefroy, Paulette Saab

Publication date: 1989

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186119

zbMATH Keywords

approximation propertyM-idealBanach algebra methodscomplemented subspace of a space with a shrinking unconditional finite dimensional decompositionstructure theorem on separable complex Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Ideals and subalgebras (46H10)

Related Items (13)

Complemented Copies of l ₁ in Spaces of Vector Measures and Applications ⋮ Banach spaces which are M-ideals in their bidual have property (u) ⋮ New classes of Banach spaces which are M-ideals in their biduals ⋮ Non-commutative analogues of weak compactness criteria in symmetric spaces ⋮ Principle of local reflexivity for operators and quojections ⋮ Pelczynski’s property (V*) for symmetric operator spaces ⋮ New examples of non-reflexive Banach spaces with Pelczyński's property (V) ⋮ Invariant subspaces of X** under the action of biconjugates ⋮ Phillips' lemma for L-embedded Banach spaces ⋮ Pełczyński's property $V$ for spaces of compact operators ⋮ On properties of \(M\)-ideals ⋮ Inner \(M\)-ideals in Banach algebras ⋮ Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively

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