Some linear topological properties of the spaces of operators on Hilbert space
J. Arazy, J. Lindenstrauss (1975)
Compositio Mathematica
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J. Arazy, J. Lindenstrauss (1975)
Compositio Mathematica
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C. Bessaga, A. Pełczyński (1958)
Studia Mathematica
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B. Maurey, G. Schechtman (1979)
Compositio Mathematica
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L. E. Dor, T. Starbird (1979)
Compositio Mathematica
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C. Bessaga, A. Pełczyński, Stefan Rolewicz (1959)
Colloquium Mathematicae
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C. Leránoz (1992)
Studia Mathematica
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We prove that if 0 < p < 1 then a normalized unconditional basis of a complemented subspace of must be equivalent to a permutation of a subset of the canonical unit vector basis of . In particular, has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for .
I. Gasparis, D. Leung (2000)
Studia Mathematica
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It is shown that for every 1 ≤ ξ < ω, two subspaces of the Schreier space generated by subsequences and , respectively, of the natural Schauder basis of are isomorphic if and only if and are equivalent. Further, admits a continuum of mutually incomparable complemented subspaces spanned by subsequences of . It is also shown that there exists a complemented subspace spanned by a block basis of , which is not isomorphic to a subspace generated by a subsequence of ,...
E. Odell (1980)
Compositio Mathematica
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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