The Journal of the Indian Mathematical Society

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Λ1(β)x-Bases and Λ1(α)-Nuclearity


Affiliations
1 Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120, Gujarat, India
     

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This article presents a host of devices paving the way for conditions synonymous with Λ1(α)-nuclearity. Inter alia, for several characterizations of Λ1(α)-nuclearity we throw some light on Λ1(α)-nuclearity of sequence spaces equipped with fairly generalized σμ-topology of Ruckle rather than the usual traditional normal topology.
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  • Λ1(β)x-Bases and Λ1(α)-Nuclearity

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Authors

G. M. Deheri
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120, Gujarat, India

Abstract


This article presents a host of devices paving the way for conditions synonymous with Λ1(α)-nuclearity. Inter alia, for several characterizations of Λ1(α)-nuclearity we throw some light on Λ1(α)-nuclearity of sequence spaces equipped with fairly generalized σμ-topology of Ruckle rather than the usual traditional normal topology.