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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
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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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