COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS

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Alimohammadi Davood; Analoei Ebrahim

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS

Author(s)

Alimohammadi Davood | Analoei Ebrahim | Issue Writer Certificate

Keywords

COMPACT HOMOMORPHISM

EXTENDED LIPCSHITZ ALGEBRA

NATURAL BANACH FUNCTION ALGEBRA

UNITAL HOMOMORPHISM

Abstract

LET (X, D) BE A COMPACT METRIC SPACE AND LET K BE A COMPACT SUBSET OF X. FOR A Î (0, 1], WE DENOTE BY LIP(X, K, DA) THE COMPLEX ALGEBRA OF COMPLEX-VALUED CONTINUOUS FUNCTIONS F ON X FOR WHICH PA, K(F) = SUP (FORMOLA) < ¥. IN PARTICULAR, IF K = X, WE WRITE LIP(X, DA) AND PA (F) INSTEAD LIP(X, K, DA) AND PA,K(F), RESPECTIVELY. THE ALGEBRAS LIP(X, DA) AND LIP(X, K, DA) ARE CALLED LIPSCHITZ ALGEBRAS AND EXTENDED LIPSCHITZ ALGEBRAS, RESPECTIVELY. IN THIS NOTE, WE STUDY UNITAL COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS AND DETERMINE THE SPECTRUM OF UNITAL COMPACT ENDOMORPHISMS OF THESE ALGEBRAS.

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APA: Copy

Alimohammadi, Davood, & Analoei, Ebrahim. (2012). COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925321/en

Vancouver: Copy

Alimohammadi Davood, Analoei Ebrahim. COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS. 2012. Available from: https://sid.ir/paper/925321/en

IEEE: Copy

Davood Alimohammadi, and Ebrahim Analoei, “COMPACT HOMOMORPHISMS BETWEEN EXTENDED LIPSCHITZ ALGEBRAS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925321/en

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