Displaying similar documents to “Fréchet algebras with orthogonal basis”

Multipliers of topological algebras

Taqdir Husain

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CONTENTS1. Introduction.............................................................................................52. Multipliers of topological algebras...........................................................63. Multipliers of topological algebras with orthogonal bases......................114. π-Algebras............................................................................................185. Orthogonal decomposition of topological algebras................................216....

Aspects of unconditionality of bases in spaces of compact operators

James R. Holub (1998)

Annales Polonici Mathematici

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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...