Study of Modern Methods in Topological Vector Spaces

Authors

  • Rakesh Kumar Bharti  Research Scholar, Department of Mathematics, J. P. University, Chapra, Bihar, India
  • Chandra Deo Pathak  Research Scholar, Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • Dr. Rajnarayan Singh  Department of Mathematics, Jagdam College, J. P. University, Chapra, Bihar, India

Keywords:

Topology, Vector- Space, Hilbert Spaces, Homomorphic, Functional Analysis.

Abstract

In this present paper, we studied about modern methods in topological vector spaces. A topological vector space is one of the basic structures investigated in functional analysis. The elements of topological vector spaces are typically functions or linear operators acting on topological vector spaces, and the topology is often defined so as to capture a particular notion of convergence of sequence of functions. Hilbert and Banach spaces are well known examples unless stated otherwise, the underlying field of a topological vector space is assumed to be either the complex number 'C ' or the real number 'R' [1-2].

References

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International Journal of Scientific Research in Science and Technology

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Published

2022-02-28

Issue

Volume 9, Issue 1, January-February-2022

Section

Research Articles

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How to Cite

[1]
Rakesh Kumar Bharti, Chandra Deo Pathak, Dr. Rajnarayan Singh "Study of Modern Methods in Topological Vector Spaces" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 9, Issue 1, pp.330-334, January-February-2022.