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arXiv · 2203.04293

Generalized Riesz Representation Theorem in n-Hilbert space

Prasenjit Ghosh·T. K. Samanta
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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.

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Prasenjit Ghosh, T. K. Samanta. 2022-03-08. Generalized Riesz Representation Theorem in n-Hilbert space. https://doi.org/10.47013/16.1.7

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