On Characterization of Very Rotund Banach Spaces

Abstract/Overview

It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and represents one of the most interesting and studied problems. In this paper we investigate if there exists other most rotund Banach spaces. It is shown that Frechet spaces are very rotund and also uniformly rotund.

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APA

O.</div>, < (2024). On Characterization of Very Rotund Banach Spaces. Afribary. Retrieved from https://afribary.com/works/on-characterization-of-very-rotund-banach-spaces

MLA 8th

O.</div>, <div>Wanjara "On Characterization of Very Rotund Banach Spaces" Afribary. Afribary, 04 Jun. 2024, https://afribary.com/works/on-characterization-of-very-rotund-banach-spaces. Accessed 07 Sep. 2024.

MLA7

O.</div>, <div>Wanjara . "On Characterization of Very Rotund Banach Spaces". Afribary, Afribary, 04 Jun. 2024. Web. 07 Sep. 2024. < https://afribary.com/works/on-characterization-of-very-rotund-banach-spaces >.

Chicago

O.</div>, <div>Wanjara . "On Characterization of Very Rotund Banach Spaces" Afribary (2024). Accessed September 07, 2024. https://afribary.com/works/on-characterization-of-very-rotund-banach-spaces