The Journal of the Indian Mathematical Society

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λ(p; In) Nuclear Spaces and Λ(α)-nuclear Spaces with Bases and their Topological Identification with Kothe Spaces


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

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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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  • λ(p; In) Nuclear Spaces and Λ(α)-nuclear Spaces with Bases and their Topological Identification with Kothe Spaces

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Authors

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

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.