An algorithm for verifying some norm identities in inner-product spaces

In this paper, we provide an algorithm for verifying the validity of identities of the form ∑A⊆n¯cA‖xA‖2=0, where xA=∑i∈Axi and n¯={1,⋯,n} in inner-product spaces. Such algorithm is used to verify the validity, in inner-product spaces, for a number of identities. These include a generalization of th...

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Bibliographic Details
Main Author: Muneerah Al Nuwairan
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Journal of King Saud University: Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364721002603