×

Amenability induced by amenable homomorphic images. (English) Zbl 0501.43001

MSC:

43A07 Means on groups, semigroups, etc.; amenable groups
22A20 Analysis on topological semigroups
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Berglund, J.F. and K.H. Hofmann,Compact Semitopological Semigroups and Weakly Almost Periodic Functions, Lecture Notes in Mathematics 42, Springer-Verlag, New York, 1967. · Zbl 0155.18702
[2] –, H.D. Junghenn, P. Milnes,Compact Right Topological Semigroups and Generalizations of Almost Periodicity, Lecture Notes in Mathematics 663, Springer-Verlag, New York, 1978. · Zbl 0406.22005
[3] Day, M.M.,Amenable semigroups, IllinoidsJ. Math, 1 (1975), 509–544. · Zbl 0078.29402
[4] –,Semigroups and amenability, in Semigroups (editor: K.W. Folley), Academic Press, New York, 1969.
[5] –,Amenability and equicontinuity, Studia Mathematica XXXI (1968), 481–494. · Zbl 0172.41803
[6] Dixmier, J.,Les moyennes invariantes dans les semigroups et leurs applications, Acta. Sci. Math. (Szeged) 12 (1950), 213–227. · Zbl 0037.15501
[7] Glicksberg, I.,Weak compactness and separate continuity Pacific J. Math. 11 (1961), 205–214. · Zbl 0104.33901
[8] Granirer, E. and A.T., Lau,Invariant means on locally compact groups, Illinois J. Math. 15 (1971), 249–257. · Zbl 0212.14904
[9] Greenleaf, F.P.,Invariant Means on Topological Groups and Their Applications, Van Nostrand New York, 1969. · Zbl 0174.19001
[10] Hewitt, E.,On two problems of Urysohn, Ann. of Math. 47 (1946), 503–509. · Zbl 0060.39511 · doi:10.2307/1969089
[11] –, and K.A., Ross,Abstract Harmonic Analysis I, Springer-Verlag, Berlin, 1963.
[12] Johnson, B. E.,Separate continuity and measurability, Proc. Amer. Math. Soc. 20 (1969) 420–422. · Zbl 0181.14502 · doi:10.1090/S0002-9939-1969-0236345-0
[13] Junghenn, H.D.,Topological left amenability of semidirect products, to appear in the Canadian Math. Bull. · Zbl 0472.43003
[14] Klawe, M.,Semidirect products of semigroups in relation to amenability, cancellation properties, and strong Folner conditions, Pacific J. Math. 73 (1977), 91–106. · Zbl 0385.43001
[15] Lerner, B.T.,C *-algebracompactifications of semidirect products of semitopological semigroups. Thesis, The George Washington University, 1979.
[16] Mitchell, T.,Constant functions and left invariant means on semigroups, Trans. Amer. Math. Soc. 119 (1965), 244–261. · Zbl 0146.12005 · doi:10.1090/S0002-9947-1965-0193523-8
[17] Wong, J.C.S.,Convolution and separate continuity, Pacific J. Math. 75 (1978), 601–611. · Zbl 0419.43003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.