On the size of the set of left invariant means on a semi-group
HTML articles powered by AMS MathViewer
- by Ching Chou PDF
- Proc. Amer. Math. Soc. 23 (1969), 199-205 Request permission
References
- Mahlon M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509–544. MR 92128
- Mahlon M. Day, Fixed-point theorems for compact convex sets, Illinois J. Math. 5 (1961), 585–590. MR 138100
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
- E. Granirer, On amenable semigroups with a finite-dimensional set of invariant means. I, Illinois J. Math. 7 (1963), 32–48. MR 144197
- Edmond Granirer, A theorem on amenable semigroups, Trans. Amer. Math. Soc. 111 (1964), 367–379. MR 166597, DOI 10.1090/S0002-9947-1964-0166597-7
- Indar S. Luthar, Uniqueness of the invariant mean on an abelian semigroup, Illinois J. Math. 3 (1959), 28–44. MR 103414
- Carroll Wilde and Klaus Witz, Invariant means and the Stone-Čech compactification, Pacific J. Math. 21 (1967), 577–586. MR 212552, DOI 10.2140/pjm.1967.21.577
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 199-205
- MSC: Primary 46.20; Secondary 22.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247444-1
- MathSciNet review: 0247444