DERIVATIONS ON THE BANACH ALGEBRA L∞(G)* OF A LOCALLY COMPACT GROUP

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Ahmadi Gandomani m.h.; MEHDIPOUR M.J.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS
Year:2017 | Issue:5

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Title

DERIVATIONS ON THE BANACH ALGEBRA L∞(G)* OF A LOCALLY COMPACT GROUP

Author(s)

Ahmadi Gandomani m.h. | MEHDIPOUR M.J.

Keywords

LOCALLY COMPACT GROUP

DERIVATION

JORDAN DERIVATION

CENTRALIZING DERIVATION

SKEW CENTRALIZING DERIVATION

Abstract

IN THIS PAPER, WE PRESENT SOME RESULTS CONCERNING DERIVATIONS AND JORDAN DERIVATIONS ON THE NONCOM MUTATIVE BANACH ALGEBRA L¥ (G)*. WE SHOW THAT THE RANGE OF ANY (SKEW-) CENTRALIZING DERIVATION ON L¥ (G)* IS EMBEDDED INTO M (L¥, C (G)), AND THE ZERO MAP IS THE ONLY SKEW-COMMUTING DERIVATION ON L¥ (G)*. WE ALSO PROVE THAT THE SUBSPACE ANNR (L¥ (G)*) OF L¥ (G)* IS INVARIANT UNDER JORDAN DERIVATIONS.

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APA: Copy

Ahmadi Gandomani, m.h., & MEHDIPOUR, M.J.. (). . . SID. https://sid.ir/paper/939890/en

Vancouver: Copy

Ahmadi Gandomani m.h., MEHDIPOUR M.J.. . . Available from: https://sid.ir/paper/939890/en

IEEE: Copy

m.h. Ahmadi Gandomani, and M.J. MEHDIPOUR, “,” presented at the . , [Online]. Available: https://sid.ir/paper/939890/en

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