A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing
E. Odell (1980)
Compositio Mathematica
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E. Odell (1980)
Compositio Mathematica
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Jun, Kunás K. (1971)
Portugaliae mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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M. Angeles Miñarro (1996)
Collectanea Mathematica
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In this note we study the topological structure of weighted James spaces J(h). In particular we prove that J(h) is isomorphic to J if and only if the weight h is bounded. We also provide a description of J(h) if the weight is a non-decreasing sequence.
A. Stokolos (1988)
Studia Mathematica
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Helga Fetter, B. Gamboa de Buen (1997)
Studia Mathematica
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We prove that a normalized non-weakly null basic sequence in the James tree space JT admits a subsequence which is equivalent to the summing basis for the James space J. Consequently, every normalized basic sequence admits a spreading subsequence which is either equivalent to the unit vector basis of or to the summing basis for J.
D. Garling (1968)
Studia Mathematica
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Al-Bassam, M.A. (1970)
Portugaliae mathematica
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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