Generalized derivations on certain Banach algebras

Document Type : Research Paper

Authors

1 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran.

2 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

Abstract

In this paper, we apply the well-known results concerning derivations and generalized derivations of commutative Banach algebras and of prime rings to certain Banach algebras that are neither commutative Banach algebras nor prime rings. For example, we investigate the truth of Singer-Wermer conjecture and Posner's second theorem for this class of Banach algebras.

Keywords

References

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Mathematics and Society
Volume 9, Issue 2 - Serial Number 2
September 2024
Pages 87-105

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History

  • Receive Date: 03 December 2023
  • Revise Date: 11 March 2024
  • Accept Date: 12 March 2024
  • Publish Date: 10 June 2024

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