Some embeddings for phi.
Jesús M. Fernández Castillo (1989)
Extracta Mathematicae
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Displaying similar documents to “The sum problem for Hilbert spaces”
Some embeddings for phi.
Embedding sums into products of Banach spaces.
Jesús M. Fernández Castillo (1992)
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The complemented subspace problem revisited
N. J. Kalton (2008)
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We show that if X is an infinite-dimensional Banach space in which every finite-dimensional subspace is λ-complemented with λ ≤ 2 then X is (1 + C√(λ-1))-isomorphic to a Hilbert space, where C is an absolute constant; this estimate (up to the constant C) is best possible. This answers a question of Kadets and Mityagin from 1973. We also investigate the finite-dimensional versions of the theorem.
On relatively disjoint families of measures, with some applications to Banach space theory
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Some characterization of c-paracompact and c-collectionwise normal spaces by continuous selections (II).
Juan Margalef Roig, Enrique Outerelo Domínguez (1980)
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