Perturbations of Schauder bases in the spaces C(K) and , p<1
Alfred Andrew (1979)
Studia Mathematica
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Alfred Andrew (1979)
Studia Mathematica
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P. Wojtaszczyk (1973)
Studia Mathematica
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A. Pełczyński (1969)
Studia Mathematica
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N. Kalton (1970)
Studia Mathematica
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A. Pełczyński, I. Singer (1964)
Studia Mathematica
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M. Kadec, A. Pełczyński (1962)
Studia Mathematica
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I. Singer (1968)
Studia Mathematica
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C. Bessaga, A. Pełczyński (1958)
Studia Mathematica
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P. Casazza, N. Kalton (1999)
Studia Mathematica
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We give counterexamples to a conjecture of Bourgain, Casazza, Lindenstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then so does . We also give some positive results including a simpler proof that has a unique unconditional basis and a proof that has a unique unconditional basis when , and remains bounded.
N. Kalton (1970)
Studia Mathematica
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J. Holub, J. Retherford (1970)
Studia Mathematica
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