φJ-MULTIPLIERS AND φJ-MULTIPLIERS QUADRATIC ON JORDAN BANACH ALGEBRAS
Keywords:
Multiplier, J-Multiplier, J-multiplier quadratic, φ-Multiplier, φJ-Multiplier, φJ-multiplier quadratic, Idempotent homomorphism, Quadratic operator, Spectrum of an element, Product of Jordan, Jordan Banach Algebras, Algebra without order, Special Jordan algebra, Full algebra, Strong topologyAbstract
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.
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Published
2014-08-22
How to Cite
Tajmouati, A. (2014). φJ-MULTIPLIERS AND φJ-MULTIPLIERS QUADRATIC ON JORDAN BANACH ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 32, 265–276. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6218
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Section
Articoli - Forum Editrice
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Copyright (c) 2014 Abdelaziz Tajmouati
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
