Multipliers of Commutative \(\varvec{F}\) -Algebras of Continuous Vector-Valued Functions

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• 作者：Liaqat Ali Khan…
• 关键词：Multiplier ; F ; algebra ; Minimal approximate identity ; Algebra of continuous vector ; valued functions ; Primary 43A22 ; Secondary 46A16 ; 46E40 ; 47B38
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：38
• 期：1
• 页码：345-358
• 全文大小：235 KB
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• 作者单位：Liaqat Ali Khan (1)
  Saud M. Alsulami (1)
  
  1. Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

Characterizations of multipliers on algebras of continuous functions with values in a commutative Banach or \(C^{*}\)-algebra A have been obtained by several authors. In this paper, we investigate the extent to which these characterizations can be made beyond Banach algebras. We shall focus mainly on the algebras of continuous functions with values in an F-algebra A (not necessarily locally convex), in particular in a complete p-normed algebra, \(0<p\le 1,\) having a minimal approximate identity. We include a few examples related to our results. Most of our initial results remain valid without the commutativity of A. Keywords Multiplier F-algebra Minimal approximate identity Algebra of continuous vector-valued functions