Weak convergence is not strong convergence for amenable groups

Canadian Mathematical Bulletin

Volumn 44, Issue 2, 2001, Pages 231-241

  Rosenblatt, Joseph M ^a   Willis, George A ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035376927     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-2001-023-x     Document Type: Article

References (8)

1. T. Ceccherini-Silberstein, R. Grigorchuk, P. de la Harpe, Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. 1997, preprint.
2. M. M. Day, Amenable semigroups. Illinois J. Math. 1(1957), 509-544.
3. _, Semigroups and amenability. 1969 Semigroups, Proc. Sympos. Wayne State Univ., Detroit, Mich., 1968, Academic Press, New York, 5-53.
4. F. Greenleaf, Invariant means on topologicalgroups and their applications. Van Nostrand, New York, 1969.
5. I. Namioka, Følner's conditions for amenable semi-groups, Math. Scand. 15(1964), 18-28.
6. A. Patterson, Amenability. Mathematical Surveys and Monographs 29, Amer. Math. Soc., Providence, Rhode Island, 1988.
7. R. Sine, Sequential convergence to invariance in BC(G), Proc. Amer. Math. Soc. 55(1976), 313-317.
8. S. Wagon, The Banach-Tarski Paradox. Cambridge University Press, Cambridge, 1985.