Matrix summability in amenable semigroups
HTML articles powered by AMS MathViewer
- by Peter F. Mah PDF
- Proc. Amer. Math. Soc. 36 (1972), 414-420 Request permission
Abstract:
Necessary and sufficient conditions are given for an infinite matrix to be almost Schur and almost strongly regular in left amenable semigroups.References
-
H. T. Bell, A generalization of almost convergence (preprint).
- Mahlon M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509–544. MR 92128
- E. Granirer, Extremely amenable semigroups, Math. Scand. 17 (1965), 177–197. MR 197595, DOI 10.7146/math.scand.a-10772
- E. Granirer, Extremely amenable semigroups. II, Math. Scand. 20 (1967), 93–113. MR 212551, DOI 10.7146/math.scand.a-10825
- Edmond E. Granirer, Functional analytic properties of extremely amenable semigroups, Trans. Amer. Math. Soc. 137 (1969), 53–75. MR 239408, DOI 10.1090/S0002-9947-1969-0239408-3
- E. Granirer, On amenable semigroups with a finite-dimensional set of invariant means. I, Illinois J. Math. 7 (1963), 32–48. MR 144197
- Peter F. Mah, Summability in amenable semigroups, Trans. Amer. Math. Soc. 156 (1971), 391–403. MR 275013, DOI 10.1090/S0002-9947-1971-0275013-X
- Paul Schaefer, Matrix transformations of almost convergent sequences, Math. Z. 112 (1969), 321–325. MR 254466, DOI 10.1007/BF01110226
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 414-420
- MSC: Primary 40J05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0313674-3
- MathSciNet review: 0313674