A New Notion of Inner Product in A Subspace of n-Normed Spaces

Muh Nur; Mochammad  Idris

doi:10.22342/jims.29.3.1412.372-381

Muh Nur ⁽¹⁾ , Mochammad Idris ⁽²⁾

(1) a:1:{s:5:"en_US";s:21:"Hasanuddin University";}, Indonesia,

(2) , Indonesia

https://doi.org/10.22342/jims.29.3.1412.372-381

Issue
VOLUME 29 NUMBER 3 (NOVEMBER 2023)

Submitted
May 9, 2023

Accepted
December 2, 2023

Published
November 30, 2023

Keywords:

n-norm, completness, inner product, angles

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Abstract

Given an n-normed space X for n>= 2$, we investigate the completness of Y (as subspace of X) respect to a new norm that corresponds this new inner product on Y. Moreover, we discuss the angle between two subspaces in Y.

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Authors

Muh Nur

a:1:{s:5:"en_US";s:21:"Hasanuddin University";}

muhammadnur@unhas.ac.id (Primary Contact)

Mochammad Idris

Nur, M., & Idris, M. . (2023). A New Notion of Inner Product in A Subspace of n-Normed Spaces. Journal of the Indonesian Mathematical Society, 29(3), 372–381. https://doi.org/10.22342/jims.29.3.1412.372-381