Reflexivity and summability: the Nakano spaces
D. Waterman, T. Ito, F. Barber, J. Ratti (1969)
Studia Mathematica
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Displaying similar documents to “Summability in spaces”
Reflexivity and summability: the Nakano spaces
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A remark on reflexivity and summability
I. Singer (1965)
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Daniel Waterman (1969)
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Consistency theorems for Banach space analogues of Toeplitzian methods of summability
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On summability of double sequences (II)
A. Alexiewicz, W. Orlicz (1959)
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A remark on the preceding paper of I. Singer (From a letter to R. Sikorski)
A. Pełczyński (1965)
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Characterizations of elements of a double dual Banach space and their canonical reproductions
Vassiliki Farmaki (1993)
Studia Mathematica
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For every element x** in the double dual of a separable Banach space X there exists the sequence of the canonical reproductions of x** in the even-order duals of X. In this paper we prove that every such sequence defines a spreading model for X. Using this result we characterize the elements of X**╲ X which belong to the class (resp. to the class ) as the elements with the sequence equivalent to the usual basis of (resp. as the elements with the sequence equivalent to the...