DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

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KHOSRAVI A.

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2000 | Volume:26 | Issue:1 Page(s): 31-39

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Information Journal Paper

Title

DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

Author(s)

KHOSRAVI A. | Issue Writer Certificate

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Abstract

Let A be a unital complex Banach algebra and D be a derivation on A. LetK={x ε rad (A): for every natural number n, Dnx ε rad (A)}. Then D preserves the primitive ideals of A invariant if and only if K is closed. We also prove that D maps into the radical if the induced derivation Dk:A/K->A/K is centralising, or K is closed and Dk is spectrally bounded. We also prove some related results.

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APA: Copy

KHOSRAVI, A.. (2000). DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 26(1), 31-39. SID. https://sid.ir/paper/53630/en

Vancouver: Copy

KHOSRAVI A.. DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2000;26(1):31-39. Available from: https://sid.ir/paper/53630/en

IEEE: Copy

A. KHOSRAVI, “DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 26, no. 1, pp. 31–39, 2000, [Online]. Available: https://sid.ir/paper/53630/en

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