Spaces of compact operators
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Publication:2562498
DOI10.1007/BF01432152zbMath0266.47038MaRDI QIDQ2562498
Publication date: 1974
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/162574
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear spaces of operators (47L05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projections in the space of bounded linear operators
- On compelemented subspaces of m
- The structure of weakly compact sets in Banach spaces
- Weak convergence of sequences in function spaces
- Hilbertian operators and reflexive tensor products
- On the existence of noncompact bounded linear operators between certain Banach spaces
- Projections onto the subspace of compact operators
- On bases and unconditional convergence of series in Banach spaces
- Projecting m onto c 0
- ON COMPLEMENTED AND QUASI-COMPLEMENTED SUBSPACES OF QUOTIENTS OF C(S) FOR STONIAN S
- The uncomplemented subspace K(E,F)
- Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
- Schauder decompositions in non-separable Banach spaces
- On relatively disjoint families of measures, with some applications to Banach space theory
- Reflexivity of L(E, F)
- A Note on Bilinear Forms
- On Integration in Vector Spaces
- Criteres de Compacite dans les Espaces Fonctionnels Generaux
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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