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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Format: | Article |
Language: | English |
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University of Maragheh
2020-11-01
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Series: | Sahand Communications in Mathematical Analysis |
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Online Access: | https://scma.maragheh.ac.ir/article_44696_5452c2069b9738dc47e177eb1717ec41.pdf |