On Operators Preserves in Normed Inner Product Spaces
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Asian Institute of Research, Journal Publication, Journal Academics, Education Journal, Asian Institute
Asian Institute of Research, Journal Publication, Journal Academics, Education Journal, Asian Institute

Engineering and Technology Quarterly Reviews

ISSN 2622-9374

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Published: 22 June 2023

On Operators Preserves in Normed Inner Product Spaces

Mohammad Ali Panahy, Mohammad Akbari, Esmatullah Abed, Amanullah Nabavi

Bamyan University, Afghanistan

journal of social and political sciences
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doi

10.5281/zenodo.8063579

Pages: 92-98

Keywords: Convex, Operators, Orthogonality, Norm Space, Linear Operators, Inner Product Space

Abstract

We consider that a finite dimensional real normed linear space X is an inner product space if for any linear operator T on X, T preserving its norm at e1,e2∈SX implies T attains its norm at span{e1,e2}∩SX . We prove by the convexity theorem.

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