Inner Products on Discrete Morrey Spaces

Authors

  • Muhammad Jakfar Department of Mathematics, Faculty of Mathematics and Science, Universitas Negeri Surabaya, Indonesia
  • Manuharawati Manuharawati Universitas Negeri Surabaya
  • Agung Lukito Universitas Negeri Surabaya
  • Shofan Fiangga Universitas Negeri Surabaya

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i1.4612

Keywords:

Discrete Morrey space, inner product, normed space, p-summable space

Abstract

The discrete Morrey space m_(u,p) is a generalization of the p-summable sequence space l^p. We have known that the space is a normed space, but the space m_(u,p) equipped with the usual norm is not an inner product space for p is not equal to 2. In this paper, we shall show that this space is actually contained in an inner product space. That means this space equipped with the inner product is an inner product space. The relationship between a standard norm on  and the inner product is studied.

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Published

2023-01-29

Issue

Vol. 16 No. 1: (January 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Inner Products on Discrete Morrey Spaces. (2023). European Journal of Pure and Applied Mathematics, 16(1), 144-155. https://doi.org/10.29020/nybg.ejpam.v16i1.4612