Generalized Riesz Representation Theorem in n-Hilbert space
Functional Analysis
2023-04-12 v1
Abstract
In respect of b-linear functional, Riesz representation theorem in n-Hilbert space have been proved. We define b-sesquilinear functional in n-Hilbert space and establish the polarization identities. A generalized form of the Schwarz inequality in n-Hilbert space is being discussed. Finally, a generalized version of Riesz representation theorem with respect to b-sesquilinear functional in n-Hilbert space have been developed.
Cite
@article{arxiv.2203.04293,
title = {Generalized Riesz Representation Theorem in n-Hilbert space},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2203.04293},
year = {2023}
}
Comments
14 pages