Non-Equivalent Norms on $C^b(K)$

‎Let $A$ be a non-zero normed vector space and let $K=\overline{B_1^{(0)}}$ be the closed unit ball of $A$. Also, let $\varphi$ be a non-zero element of $ A^*$ such that $\Vert \varphi \Vert\leq 1$. We first define a new norm $\Vert \cdot \Vert_\varphi$ on $C^b(K)$, that is a non-complete, non-algeb...

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Bibliographic Details
Main Author: Ali Reza Khoddami
Format: Article
Language:English
Published: University of Maragheh 2020-11-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_44696_5452c2069b9738dc47e177eb1717ec41.pdf