2-nsr lemma and quotient space in 2-normed space

Authors

  • P. Riyas P. G. Department and Research Centre, Payyannur College, Payyannur, India Author
  • K. T. Ravindran P. G. Department and Research Centre, Payyannur College, Payyannur, India Author

Keywords:

$2$-normed space, locally bounded, compact operator, Riesz Lemma, $e$-bounded operator

Subjects:

41A65, 41A15

Abstract

In this paper we discuss properties of compactness and compactoperator on $2$-normed space. Also we consider a result which issimilar to Riesz Lemma and its applications in $2$-normed space. Weintroduce quotient space from the finite dimensional subspace of a$2$-normed space.

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Published

2011-01-15

Issue

Vol. 63 No. 1 (2011): Vol. 63, Issue 1

Section

Articles

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Copyright (c) 2011 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.