φJ-multipliers and φJ-multipliers quadratic on Jordan Banach algebras

被引：0
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作者：
Tajmouati, Abdelaziz [1 ]
机构：
[1] Tajmouati, Abdelaziz
来源：
Tajmouati, Abdelaziz | 1600年 / Forum-Editrice Universitaria Udinese SRL卷 / 32期
关键词：
Banach algebra - Idempotent - J-Multiplier - J-multiplier quadratic - Jordan algebra - Multiplier - Product of Jordan - Quadratic operator - Spectrum of an element - Strong topology;
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摘要：
In this work, we define the notion of φJ-multipliers on Jordan-Banach algebras without order and investigate some of their properties. We show that a φJ-multiplier satisfies the condition T [Ux(y)] = Uφ(x)[T(y)]. This suggests that we define a new concept which is the φJ-multiplier quadratic. We show several algebraic or topological properties for both concepts. In particular, we extend some known results for φ-multipliers to φJ-multipliers and φJ-multipliers quadratic. © 2014, Forum-Editrice Universitaria Udinese SRL. All rights reserved.
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页码：265 / 276
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