Rotundity of Quotient Spaces in Metric Linear Spaces

Author(s):

Shelly Garg , Harpreet K. Grover* , T. D. Narang

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we discuss the inheritance of strict convexity, uniform convexity and local uniform convexity by the quotient spaces of metric linear spaces. We also show that, as in the case of normed linear spaces, completeness is a three- space property in metric linear spaces as well.

Keywords:

Metric Linear Space , Strict Convexity , Uniform Convexity , Local Uniform Convexity , Three-Space Property

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
119 to 126
https://www.magiran.com/p2761613