Title : ( Orthogonality additive polynomials on the projective tensor product of certain Banach algebras )
Authors: AminAllah Khosravi , Hamid Reza Ebrahimi Vishki , Ramin Faal ,
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Abstract
A Banach algebra $A$ is said to have $k$-orthogonally additive property ($k$-OAP, for short) if every orthogonally additive $k$-homogeneous polynomial $P:A\\\\longrightarrow\\\\mathbb C$ can be represented in the standard form $P(x)=\\\\langle\\\\gamma, x^k\\\\rangle$, for some $\\\\gamma\\\\in A^*$, where $x\\\\in A$. In this talk we investigate $k$-OAP for the projective tensor product of Banach algebras.
Keywords
, Orthogonally additive polynomial, projective tensor product, Banach algebra.
@inproceedings{paperid:1100498,
author = {Khosravi, AminAllah and Ebrahimi Vishki, Hamid Reza and Faal, Ramin},
title = {Orthogonality additive polynomials on the projective tensor product of certain Banach algebras},
booktitle = {55th Annaul Iranian Mathematics Conference (AIMC 55)},
year = {2024},
location = {مشهد, IRAN},
keywords = {Orthogonally additive polynomial; projective tensor product; Banach algebra.},
}
%0 Conference Proceedings
%T Orthogonality additive polynomials on the projective tensor product of certain Banach algebras
%A Khosravi, AminAllah
%A Ebrahimi Vishki, Hamid Reza
%A Faal, Ramin
%J 55th Annaul Iranian Mathematics Conference (AIMC 55)
%D 2024
