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    • Keywords


      Köthe sequence spaces; G1- andG-conditions; cross-dual of a sequence space; nuclear locally convex space; Schauder basis; equicontinuous and absolute basis; unconditional convergence; locally convex algebra; orthogonal basis; Grothendieck-Pietsch n

    • Abstract


      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.

    • Author Affiliations


      Subhash J Bhatt1 G M Deheri1

      1. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar - 388 120, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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