The Journal of the Indian Mathematical Society

G. M. Deheri ¹

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

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.

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G. M. Deheri ¹

Affiliations
1 Department of Mathematics, Sardar Patel University, Vallabha Vidyanagar-38820, Gujarat, IN

Abstract

Matrix Transformations or Kothe sequence spaces admitting generalized bases have been characterized in this article.

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G. M. Deheri ¹

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

Abstract

It is shown that the collection of all λ(P; IN)-nuclear spaces in which there is an equicontinuous basis coincides with the collection of all λ(P; IN)-nuclear KSthe spaces which generalizes the famous classical result of Pietsch.

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