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International Journal of Modern Computation, Information and Communication Technology

ISSN 2581-5954

January 2019, Vol. 2, Issue 1, p. 1-4.​​

On Characterization of Midpoint Locally Uniformly Rotund Norms in Fréchet Spaces
A. O. Wanjara, N. B. Okelo*, O. Ongati
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, P. O. Box 210-40601, Bondo-Kenya.
*Corresponding author’s e-mail:
bnyaare@yahoo.com

Abstract

In the present paper, instead of using Hilbert space as the most rotund Banach space, we pick a Fréchet space as a unique Banach space and characterize midpoint locally uniformly rotund Banach spaces.

Keywords: Fréchet space; Midpoint Locally Uniformly Rotund space; Weakly Midpoint Locally Uniformly Rotund space.

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