Inner Products on Discrete Morrey Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v16i1.4612Keywords:
Discrete Morrey space, inner product, normed space, p-summable spaceAbstract
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.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 European Journal of Pure and Applied Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.