Approximately Local Derivations on $\ell^{1}$-Munn algebras with applications to Semigroup Algebras

doi:10.21203/rs.3.rs-1766155/v1

Download PDF

Research Article

Approximately Local Derivations on $\ell^{1}$-Munn algebras with applications to Semigroup Algebras

https://doi.org/10.21203/rs.3.rs-1766155/v1

This work is licensed under a CC BY 4.0 License

Version 1

posted

You are reading this latest preprint version

At the present paper, we investigate bounded approximately local derivations of ℓ¹-Munn algebra M_I (A); where I is an arbitrary non-empty set and A is an approximately locally unital Banach algebra. Indeed, we show that if _AB(A,A*) and B_A(A,A*) are reflexive, then bounded approximately local derivations from M_I (A) into any Banach M_I (A)-bimodule X are derivations. Finally, we apply this result to study bounded approximately local derivations of the semigroup algebra ℓ¹(S); where S is a uniformly locally finite inverse semigroup.

approximately local derivation

ℓ1 -Munn algebra

inverse semigroup.

Competing interest reported. The authors declare that they have no competing interests.

Download PDF

Version 1

posted

You are reading this latest preprint version

Approximately Local Derivations on $\ell^{1}$-Munn algebras with applications to Semigroup Algebras

Status:

Version 1

Abstract

Full Text

Additional Declarations

Status:

Version 1