Characterization of Frechet spaces with nuclear Kothe quotients

Authors

  • Satya Narayan Sah Department of Mathematics, M.M.A.M. Campus, T.U., Biratnagar

Keywords:

Kothe spaces, Quotient.

Abstract

In this paper our result based on the characterization of Frechet spaces with nuclear Kothe quotients is in terms of the following condition which labeled as ?. We show that a Frechet spaces E satisfies condition ? if and only if it has a quotient which admits continuous norm and satisfies condition ?. For the condition ?, there exists ? such that for every k there exists j such that the ?. ?kclosure of E′? is not closed in E′j.

DOI: http://dx.doi.org/10.3126/bibechana.v11i0.10397

BIBECHANA 11(1) (2014) 161-164

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Published

2014-05-10

Issue

Vol. 11 (2014)

Section

Research Articles

License

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How to Cite

Sah, S. N. (2014). Characterization of Frechet spaces with nuclear Kothe quotients. BIBECHANA, 11, 161-164. https://doi.org/10.3126/bibechana.v11i0.10397