Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras

Section: Research Paper
Issue
Vol. 28 No. 1 (2019): Volume 28 Issue 1
Published
Mar 1, 2019
Pages
62-70

Abstract

Following Villena in [9] and Mohammed and Ali in [4], we introduce partially defined ( ) - c - double derivation and generalized ( ) - c - double derivation on a semisimple complex Banach algebra whose domain is not necessarily closed, essential ideal and we prove that they are closable. In particular, we show that every ( )- c -double derivation and generalized ( ) - c - double derivation defined on any nonzero ideal of a prime C * - algebra are continuous.

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Authors

Amir A. Mohammed A. Mohammed A. Mohammed
Lamia K. Ismail K. Ismail

Identifiers

https://doi.org/10.33899/edusj.2019.160913
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How to Cite

[1]
A. A. Mohammed A. Mohammed A. Mohammed, أمیرة, L. K. Ismail K. Ismail, and لمیاء, “Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras”, EDUSJ, vol. 28, no. 1, pp. 62–70, Mar. 2019.