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

Amir A. Mohammed A. Mohammed et al · University of Mosul, College of Education for Pure Science · 2019

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Author / responsible party
Amir A. Mohammed A. Mohammed et al
Publisher
University of Mosul, College of Education for Pure Science
Year
2019
ISSN
1812-125X
ISSN
1812-125X
Language
English
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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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APA 7

al, A. A. M. A. M. E. (2019). Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras. https://doi.org/10.33899/edusj.2019.160913

MLA

al, Amir A. Mohammed A. Mohammed et. "Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras." 2019. https://doi.org/10.33899/edusj.2019.160913.

Chicago

al, Amir A. Mohammed A. Mohammed et. 2019. "Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras.". https://doi.org/10.33899/edusj.2019.160913.

Harvard

al, A. A. M. A. M. E. 2019, Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2019.160913 [Accessed 8 Aug. 2026].

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Title
Automatic Continuity of Some Types of Double Derivations on Semisimple Banach Algebras
Author / contributors
Amir A. Mohammed A. Mohammed et al
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2019
ISSN
1812-125X
ISSN
1812-125X
Language
English

Subjects

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automatic continuity; double derivation; ultraprimness; sliding hump sequence
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