On Characterization of Very Rotund Banach Spaces

Authors

  • A.O Wanjara
  • N.B Okelo
  • O Ongati

DOI:

https://doi.org/10.65000/7159gg66

Keywords:

Rotundity; Hilbert space; Modulus; Convexity; Frechet space

Abstract

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. 

Downloads

Published

23-10-2018

Issue

Vol. 1 No. 5 (2018)

Section

Articles

License

Copyright (c) 2018 A.O Wanjara, N.B Okelo, O Ongati

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Wanjara, A., Okelo, N., & Ongati, O. (2018). On Characterization of Very Rotund Banach Spaces. International Journal of Modern Computation, Information and Communication Technology, 1(5), 99-102. https://doi.org/10.65000/7159gg66