Operator norm attainment and inner product spaces |
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Authors: | Debmalya Sain Kallol Paul |
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Affiliation: | Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India |
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Abstract: | In this paper we prove that a finite dimensional real normed linear space X is an inner product space iff for any linear operator T on X, T attains its norm at e1,e2∈SX implies T attains its norm at span{e1,e2}∩SX. |
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Keywords: | primary, 46C15 secondary, 47A30 |
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