TOPOLOGICAL LUMPINESS AND TOPOLOGICAL EXTREME AMENABILITY

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RIAZI A.H.

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Journal Paper

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2007 | Volume:18 | Issue:2 Page(s): 167-170

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Information Journal Paper

Title

TOPOLOGICAL LUMPINESS AND TOPOLOGICAL EXTREME AMENABILITY

Author(s)

RIAZI A.H. | Issue Writer Certificate

Keywords

MEANQ3

TOPOLOGICAL EXTREME AMENABILITYQ3

LEFT LUMPYQ3

Abstract

In this paper we give some characterizations of TOPOLOGICAL EXTREME AMENABILITY. Also we answer a question raised by Ling [5]. In particular we prove that if T is a Borel subset of a locally compact semigroup S such that M(S)* has a multiplicative topological left invariant MEAN then T is topological LEFT LUMPY if and only if there is a multiplicative topological left invariant MEAN M on M(S)* such that M(XT)=1, where XT is the characteristic functional of T. Consequently if T is a topological LEFT LUMPY locally compact Borel subsemigroup of a locally compact semigroup S, then T is extremely topological left amenable if and only if S is.

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APA: Copy

RIAZI, A.H.. (2007). TOPOLOGICAL LUMPINESS AND TOPOLOGICAL EXTREME AMENABILITY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 18(2), 167-170. SID. https://sid.ir/paper/84094/en

Vancouver: Copy

RIAZI A.H.. TOPOLOGICAL LUMPINESS AND TOPOLOGICAL EXTREME AMENABILITY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2007;18(2):167-170. Available from: https://sid.ir/paper/84094/en

IEEE: Copy

A.H. RIAZI, “TOPOLOGICAL LUMPINESS AND TOPOLOGICAL EXTREME AMENABILITY,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 18, no. 2, pp. 167–170, 2007, [Online]. Available: https://sid.ir/paper/84094/en

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