CARDINALITY OF THE SET OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LEFT UNIFORMLY CONTINUOUS FUNCTIONALS

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NEMATI MEHDI

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Seminar Paper

Paper Information

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

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Title

CARDINALITY OF THE SET OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LEFT UNIFORMLY CONTINUOUS FUNCTIONALS

Author(s)

NEMATI MEHDI

Keywords

FOURIER ALGEBRA

LAU ALGEBRA

LEFT UNIFORMLY CONTINUOUS FUNCTIONAL

TOPOLOGICALLY LEFT INVARIANT MEAN

Abstract

FOR A LAU ALGEBRA A WITH A CERTAIN CONDITION WE SHOW THAT THE NUMBER OF TOPOLOGICALLY LEFT INVARIANT MEANS ON A* IS EQUAL TO THE NUMBER OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LUC (A*). USING THIS FOR A NONDISCRETE LOCALLY COMAPCT GROUP G WE PROVE THAT THE CARDINALITY OF THE SET OF TOPOLOGICALLY INVARIANT MEANS ON UC (G) IS EQUAL TO 22B (G). IN PARTICULAR, G IS DISCRETE IF AND ONLY IF THERE IS A UNIQUE TOPOLOGICALLY INVARIANT MEAN ON UC (G).

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APA: Copy

NEMATI, MEHDI. (2017). CARDINALITY OF THE SET OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LEFT UNIFORMLY CONTINUOUS FUNCTIONALS. SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. SID. https://sid.ir/paper/939917/en

Vancouver: Copy

NEMATI MEHDI. CARDINALITY OF THE SET OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LEFT UNIFORMLY CONTINUOUS FUNCTIONALS. 2017. Available from: https://sid.ir/paper/939917/en

IEEE: Copy

MEHDI NEMATI, “CARDINALITY OF THE SET OF TOPOLOGICALLY LEFT INVARIANT MEANS ON LEFT UNIFORMLY CONTINUOUS FUNCTIONALS,” presented at the SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. 2017, [Online]. Available: https://sid.ir/paper/939917/en

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