Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)
Daniel Li (1990)
Studia Mathematica
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Daniel Li (1990)
Studia Mathematica
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J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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Lutz Weis (1976)
Studia Mathematica
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G. Godefroy, N. Kalton, P. Saphar (1993)
Studia Mathematica
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We show that a Banach space with separable dual can be renormed to satisfy hereditarily an “almost” optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel . We undertake a general study of h-ideals and u-ideals. For example...
Peter Kissel, Eberhard Schock (1990)
Commentationes Mathematicae Universitatis Carolinae
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Reisner, Shlomo (1995)
Serdica Mathematical Journal
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A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.
Andreas Defant (1990)
Studia Mathematica
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William Johnson (1974)
Studia Mathematica
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T. Figiel (1973)
Studia Mathematica
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Eve Oja, Märt Põldvere (1996)
Studia Mathematica
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Let X be a Banach space and Y a closed subspace. We obtain simple geometric characterizations of Phelps' property U for Y in X (that every continuous linear functional g ∈ Y* has a unique norm-preserving extension f ∈ X*), which do not use the dual space X*. This enables us to give an intrinsic geometric characterization of preduals of strictly convex spaces close to the Beauzamy-Maurey-Lima-Uttersrud criterion of smoothness. This also enables us to prove that the U-property of the subspace...