An Introduction to Multi Inner Product Space

Authors

DOI:

https://doi.org/10.26713/cma.v13i1.1700

Keywords:

Multi linear space, Multi complex number, Multi inner product, Schwarz inequality, Parallelogram law, Multi Hilbert space

Abstract

In this paper, for the first time, notion of multi complex numbers and multi complex number valued inner product is introduced in multi linear (vector) space. Starting from the definition, some basic properties of multi inner product spaces are studied along with examples. Multi number valued parallelogram law and polarization identity are established in multi inner product space.

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Published

23-05-2022
CITATION

How to Cite

Das, S. (2022). An Introduction to Multi Inner Product Space. Communications in Mathematics and Applications, 13(1), 147–161. https://doi.org/10.26713/cma.v13i1.1700

Issue

Vol. 13 No. 1 (2022)

Section

Research Article

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