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2011 DERIVATIONS ON MATRIX ALGEBRAS WITH APPLICATIONS TO HARMONIC ANALYSIS
H. Samea
Taiwanese J. Math. 15(6): 2667-2687 (2011). DOI: 10.11650/twjm/1500406490

Abstract

In this paper, the derivations between ideals of the Banach algebra $\mathfrak{E}_\infty(I)$ are characterized. Necessary and sufficient conditions for weak amenability of Banach algebras $\mathfrak{E}_p(I)$, $1 \leq p \leq \infty$, are found. Also, some applications to compact groups and hypergroups are given.

Citation

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H. Samea. "DERIVATIONS ON MATRIX ALGEBRAS WITH APPLICATIONS TO HARMONIC ANALYSIS." Taiwanese J. Math. 15 (6) 2667 - 2687, 2011. https://doi.org/10.11650/twjm/1500406490

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1259.46040
MathSciNet: MR2896137
Digital Object Identifier: 10.11650/twjm/1500406490

Subjects:
Primary: 15A60 , 43A40

Keywords: Banach Algebra , compact groups , compact hypergroups , derivation‎ , matrix algebra , Multiplier , Weak amenable Banach algebra

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 6 • 2011
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