Generalized Riesz Representation Theorem in n-Hilbert space (2203.04293v1)

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.