• G M Deheri

      Articles written in Proceedings – Mathematical Sciences

    • Köthe spaces and topological algebra with bases

      Subhash J Bhatt G M Deheri

      More Details Abstract Fulltext PDF

      Nuclear Köthe sequence spaceλ(P) its crossdualλ(P)x and their non-nuclear variants are examined as topological algebras. Modelling on them, a general theory of nuclear topological algebras with orthogonal basis is developed. As a by-product, abstract characterizations of sequence algebras ℓ andc0 are obtained. In a topological algebra set-up, an abstract Grothendieck-Pietsch nuclearity criterion is developed.

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