Riesz basis and its dual in n-Hilbert space

Authors

  • Prasenjit Ghosh Department of Pure Mathematics, University of Calcutta, India
  • Tapas Kumar Samanta Department of Mathematics, Uluberia College, India

Keywords:

Riesz basis, Bessel sequence, Frame, n-normed space, n-Hilbert space

Abstract

Concepts of Riesz basis and its dual, very important concept in Hilbert space, have several application in frame theory. These notions have been developed in n-Hilbert space.A relationship between Riesz basis and Bessel sequence in n-Hilbert space are going to be established. Biorthogonal system in n-Hilbert space is discussed. Also we give a relationship between frame and Riesz basis in a n-Hilbert space.

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Published

2023-07-03

Issue

Vol. 16 (2023)

Section

Articles

License

Copyright (c) 2023 Annals of Mathematics and Computer Science

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