Weak approximate identities and multipliers

David Johnson; Charles Lahr

Displaying similar documents to “Weak approximate identities and multipliers”

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L. Máté (1967)

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Algebras of real analytic functions: Homomorphisms and bounding sets

Peter Biström, Jesús Jaramillo, Mikael Lindström (1995)

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This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E), the algebra of real analytic functions on E, as well as to various subalgebras of A(E). These bounding sets are shown to be relatively weakly compact and the question whether they are always relatively compact in the norm topology is reduced to the study of the action on the set of unit vectors in $l_{\infty}$ of the corresponding functions in $A (l_{\infty})$ . These results are achieved by studying the homomorphisms...

L-summands in their biduals have Pełczyński's property (V*)

Hermann Pfitzner (1993)

Studia Mathematica

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Banach spaces which are L-summands in their biduals - for example $l^{1}$ , the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński’s property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of $l^{1}$ .