On a Generalization of a Complementary Triangle Inequality in Hilbert Spaces and Banach Spaces

Debmalya Sain ()
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Debmalya Sain: Indian Institute of Science

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1815-1827

Abstract: Abstract We study a possible generalization of a complementary triangle inequality in Hilbert spaces and Banach spaces. Our results in the present article improve and generalize some of the earlier results in this context. We also present an operator norm inequality in the setting of Banach spaces, as an application of the present study.

Keywords: Triangle inequality; convexity; normed spaces; inner product spaces; 46B20; 47A30 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0498-1

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