Quotients and interpolation spaces of stable Banach spaces
J. Bastero, Y. Raynaud (1989)
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J. Bastero, Y. Raynaud (1989)
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Tadeusz Figiel, Ryszard Frankiewicz, Ryszard A. Komorowski, Czesław Ryll-Nardzewski (2003)
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In this paper we make use of a new concept of φ-stability for Banach spaces, where φ is a function. If a Banach space X and the function φ satisfy some natural conditions, then X is saturated with subspaces that are φ-stable (cf. Lemma 2.1 and Corollary 7.8). In a φ-stable Banach space one can easily construct basic sequences which have a property P(φ) defined in terms of φ (cf. Theorem 4.5). This leads us, for appropriate functions φ, to new results on the existence...
I. Edelstein, P. Wojtaszczyk (1976)
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P. Wojtaszczyk (1973)
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S. Kwapień, A. Pełczyński (1970)
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William Johnson (1974)
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Haskell Rosenthal (1976)
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D. Alspach, P. Enflo, E. Odell (1977)
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Ed Dubinsky (1971)
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A. Pełczyński (1960)
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Lech Drewnowski (1988)
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M. Reichaw (1965)
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