On a conjecture of E. Granirer concerning the range of an invariant mean

Ching Chou

doi:10.1090/S0002-9939-1970-0260899-X

On a conjecture of E. Granirer concerning the range of an invariant mean

Ching Chou

Mathematics

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7 Scopus citations

Abstract

The purpose of this paper is to prove the following conjecture of E. Granirer: if 5 is an infinite right cancellation left amenable semigroup then for each left invariant mean ϕ of S, {ϕ(A):A ⊂ S}-[0, l].

Original language	English
Pages (from-to)	105-107
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	26
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1970-0260899-X
State	Published - 1970

Keywords

Amenable groups
Invariant means
Range of a measure
Stone-Ĉech compactification

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10.1090/S0002-9939-1970-0260899-X

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title = "On a conjecture of E. Granirer concerning the range of an invariant mean",

abstract = "The purpose of this paper is to prove the following conjecture of E. Granirer: if 5 is an infinite right cancellation left amenable semigroup then for each left invariant mean ϕ of S, \{ϕ(A):A ⊂ S\}-[0, l].",

keywords = "Amenable groups, Invariant means, Range of a measure, Stone-Ĉech compactification",

author = "Ching Chou",

year = "1970",

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PY - 1970

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AB - The purpose of this paper is to prove the following conjecture of E. Granirer: if 5 is an infinite right cancellation left amenable semigroup then for each left invariant mean ϕ of S, {ϕ(A):A ⊂ S}-[0, l].

KW - Amenable groups

KW - Invariant means

KW - Range of a measure

KW - Stone-Ĉech compactification

UR - https://www.scopus.com/pages/publications/84968464302

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DO - 10.1090/S0002-9939-1970-0260899-X

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AN - SCOPUS:84968464302

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

On a conjecture of E. Granirer concerning the range of an invariant mean

Abstract

Keywords

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