BANACH FUNCTION ALGEBRAS GENERATED BY NORMED VECTOR SPACES AND LINEAR FUNCTIONALS

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Khoddami Ali Reza

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Seminar Paper

Paper Information

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

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Title

BANACH FUNCTION ALGEBRAS GENERATED BY NORMED VECTOR SPACES AND LINEAR FUNCTIONALS

Author(s)

Khoddami Ali Reza

Keywords

BANACH FUNCTION ALGEBRA

NORMED VECTOR SPACE

BOUNDED APPROXIMATE IDENTITY

IDEMPOTENT ELEMENT

CHARACTER SPACE

Abstract

GIVEN A NON-ZERO NORMED VECTOR SPACE A AND A CONTRACTIVE NON-ZERO ELEMENT J Î A* (THE DUAL SPACE OF A), WE INTRODUCE THE BANACH FUNCTION ALGEBRA CJ (K), WHERE K=B (0) 1IS THE CLOSED UNIT BALL OF A. WE INVESTIGATE AND CHARACTERIZE SOME BASIC PROPERTIES, SUCH AS IDEMPOTENT ELEMENTS, NILPOTENT ELEMENTS AND BOUNDED APPROXIMATE IDENTITIES OF THE BANACH FUNCTION ALGEBRA CJ (K). FINALLY WE CHARACTERIZE SOME ELEMENTS OF THE CHARACTER SPACE D (CJ(K)).

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APA: Copy

Khoddami, Ali Reza. (2017). BANACH FUNCTION ALGEBRAS GENERATED BY NORMED VECTOR SPACES AND LINEAR FUNCTIONALS. SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. SID. https://sid.ir/paper/940011/en

Vancouver: Copy

Khoddami Ali Reza. BANACH FUNCTION ALGEBRAS GENERATED BY NORMED VECTOR SPACES AND LINEAR FUNCTIONALS. 2017. Available from: https://sid.ir/paper/940011/en

IEEE: Copy

Ali Reza Khoddami, “BANACH FUNCTION ALGEBRAS GENERATED BY NORMED VECTOR SPACES AND LINEAR FUNCTIONALS,” presented at the SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. 2017, [Online]. Available: https://sid.ir/paper/940011/en

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