Quasi-multipliers on Banach algebras related to locally compact semigroups

Alinejad, Ahmad; Rostami, Mohammad

doi:10.1007/s00233-019-10026-z

Semigroup Forum

2019

DOI: 10.1007/s00233-019-10026-z

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Quasi-multipliers on Banach algebras related to locally compact semigroups

Ahmad Alinejad

Mohammad Rostami

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2022

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Bi-derivations and quasi-multipliers on module extensions Banach algebras

Jabbari

Ebadian²

2022

B Soc Paran Mat

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This paper characterize two bi-linear maps bi-derivations and quasi-multipliers on the module extension Banach algebra $A\oplus_1 X$, where $A$ is a Banach algebra and $X$ is a Banach $A$-module. Under some conditions, it is shown that if every bi-derivation on $A\oplus_1 A$ is inner, then the quotient group of bounded bi-derivations and inner bi-derivations, is equal to space of quasi-multipliers of $A$. Moreover, it is proved that $\mathrm{QM}(A \oplus_1 A)=\mathrm{QM}(A)\oplus (\mathrm{QM}(A)+\mathrm{QM}(A)')$, where $\mathrm{QM}(A)'=\{m\in \mathrm{QM}(A):m(0,a)=m(a,0)=0\}$.

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Bi-derivations and quasi-multipliers on module extensions Banach algebras

Jabbari

Ebadian²

2022

B Soc Paran Mat

View full text Add to dashboard Cite

show abstract

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Quasi-multipliers on Banach algebras related to locally compact semigroups

Cited by 1 publication

References 23 publications

Bi-derivations and quasi-multipliers on module extensions Banach algebras

Bi-derivations and quasi-multipliers on module extensions Banach algebras

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