Invariant means and analytic actions.

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Invariant means and analytic actions.

Theodore Mitchell

Source: Pacific J. Math. Volume 85, Number 1 (1979), 145-153.

First Page: Show

Primary Subjects: 43A07

Secondary Subjects: 22A20, 47H10

Full-text: Open access

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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102784087
Zentralblatt MATH identifier: 0447.43003
Mathematical Reviews number (MathSciNet): MR571632

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References

[1] M. M. Day, Fixed point theorems for compact convex sets, Illinois J. Math., 5 (1961), 585-590.

Mathematical Reviews (MathSciNet): MR25:1547

Zentralblatt MATH: 0097.31705

[2] K. DeLeeuw and I. Glicksberg, Applicationsof almost periodcompactifications, Acta Math., 105 (1961), 63-97.

Mathematical Reviews (MathSciNet): MR24:A1632

Zentralblatt MATH: 0104.05501

[3] E. Hille, Analytic Function Theory, Vol. I, Ginn, Boston, Ma., 1959.

Mathematical Reviews (MathSciNet): MR21:6415

Zentralblatt MATH: 0088.05204

[4] E. Hille, Analytic Function Theory, Vol. II, Ginn, Boston, Ma., 1962.

Mathematical Reviews (MathSciNet): MR34:1490

Zentralblatt MATH: 0102.29401

[5] K. H. Hofman and P. S. Mostert, Elements of Compact Semigroups,Merrill, Columbus, Ohio, 1966.

Mathematical Reviews (MathSciNet): MR35:285

Zentralblatt MATH: 0161.01901

[6] R. D. Holmes and A. T. Lau, Non-expansive actions of topological semigroups and fixed points, J. London Math. Soc, (2), 5 (1972), 330-336.

Mathematical Reviews (MathSciNet): MR47:2447

Zentralblatt MATH: 0248.47029

[7] H. D. Junghenn, Some general results on fixed-points and invariantmeans, Semi- group Forum, 11 (1975), 153-164.

Mathematical Reviews (MathSciNet): MR52:6320

Zentralblatt MATH: 0332.43001

[8] J. L. Kelley, General Topology, Van Nostrand, Princeton, N. J., 1955.

Mathematical Reviews (MathSciNet): MR16:1136c

[9] A. T.-M. Lau, Invariant means on almost periodic functions and fixed point proper- ties, Rocky Mountain J. Math., 3 (1973), 69-76.

Mathematical Reviews (MathSciNet): MR48:2665

Zentralblatt MATH: 0279.43002

[10] A. T.-M. Lau, Invariant means on almost periodic functions and equicontinuous actions, Proc. Amer. Math. Soc, 49 (1975), 379-382.

Mathematical Reviews (MathSciNet): MR51:3793

Zentralblatt MATH: 0303.43018

[11] T. Mitchell, Common fixed-points for equicontinuoussemigroups ofmappings, Proc. Amer. Math. Soc, 33 (1972), 146-150.

Mathematical Reviews (MathSciNet): MR44:6923

Zentralblatt MATH: 0233.54029

[12] R. Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helvetia, 50 (1975), 155-177.

Mathematical Reviews (MathSciNet): MR51:11556

Zentralblatt MATH: 0304.57020

[13] A. L. Shields, On fixed points of commutinganalytic functions,Proc Amer. Math. Soc, 15 (1964), 703-706.

Mathematical Reviews (MathSciNet): MR29:2790

Zentralblatt MATH: 0129.29104

[14] J. C. S. Wong, Topological semigtoups and representations,Trans. Amer. Math. Soc, 200 (1974), 89-109.

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