Classification, through coordinates, of M-bases in separable Banach spaces.
Esteban Induráin (1988)
Collectanea Mathematica
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Esteban Induráin (1988)
Collectanea Mathematica
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A. Pełczyński (1969)
Studia Mathematica
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V. Moscatelli (1974)
Studia Mathematica
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J. Retherford (1964)
Studia Mathematica
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P. Wojtaszczyk (1973)
Studia Mathematica
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A. Pełczyński, I. Singer (1964)
Studia Mathematica
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J. Holub (1971)
Studia Mathematica
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Clark Kimberling (1995)
Acta Arithmetica
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I. Singer (1968)
Studia Mathematica
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N. Kalton (1970)
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.