Some New Results on Frechet Spaces With Nuclear Kothe Quotients

Published in Journal

Journal of Advances and Scholarly Researches in Allied Education [JASRAE] (Vol:16/ Issue: 6) DOI: 10.29070/JASRAE
Authors: Abhik Singh*,
Subjects: Multidisciplinary Academic Research

Year: May, 2019
Volume: 16 / Issue: 6
Pages: 2270 - 2274 (5)
Publisher: Ignited Minds Journals
Source:
E-ISSN: 2230-7540
DOI:
Published URL: http://ipublisher.in/I/a/252531
Published On: May, 2019

Article Details

Some New Results on Frechet Spaces with Nuclear Kothe Quotients | Original Article

Abhik Singh*, in Journal of Advances and Scholarly Researches in Allied Education | Multidisciplinary Academic Research

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ABSTRACT:

Our aim is to construct a separable Frechet non-Banach Space X with a continuous norm to have a quotient Y with a continuous norm and a basis .Here in addition, Y can be chosen to be nuclear, we say that X has a nuclear Kothe quotients. It can also be shown that there always exists a Frechet space which has a nuclear Kothe subspace iff it has non-Banach subspace which admits continuous norm.