On a quasi-monotonic sequence
Hsiang, Fu Cheng (1967)
Portugaliae mathematica
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Hsiang, Fu Cheng (1967)
Portugaliae mathematica
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Bienvenido Cuartero, Miguel Triana (1986)
Studia Mathematica
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N. Kalton (1986)
Studia Mathematica
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Robert James (1977)
Studia Mathematica
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M. Skendžić, B. Stanković (1976)
Studia Mathematica
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M. Fugarolas (1994)
Colloquium Mathematicae
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In this paper we give a characterization of the relatively compact subsets of the so-called approximation spaces. We treat some applications: (1) we obtain some convergence results in such spaces, and (2) we establish a condition for relative compactness of a set lying in a Besov space.
Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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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 .
Matos, Mário C. (1988)
Portugaliae mathematica
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Takuya Sobukawa (1997)
Collectanea Mathematica
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