Geodesic
Geometric and Topological Properties of Certain w* Compact Convex sets which Arise from the Study of Invariant Means
Canadian journal of mathematics, Tome 37 (1985) no. 1, pp. 107-121

Voir la notice de l'article provenant de la source Cambridge University Press

Let E be a Banach space, A a subset of its dual E*.x 0 ∊ A is said to be a w*G δ point of A if there are xn ∊ E and scalars γn, n = 1,2, 3 ... such that Denote by w*G δ{A} the set of all w*G δ points of A.If S is a semigroup of maps on E* and K ⊂ E*, denote by i.e., the set of points x* in the w*closure of K which are fixed points of S (i.e., sx* = x* for each s in S}. An operator will mean a bounded linear map on a Banach space and Co B will denote the convex hull of B ⊂ E. 
Granirer, Edmond E. Geometric and Topological Properties of Certain w* Compact Convex sets which Arise from the Study of Invariant Means. Canadian journal of mathematics, Tome 37 (1985) no. 1, pp. 107-121. doi: 10.4153/CJM-1985-009-9
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[1] 1. Day, M. M., Amenable semigroups, Illinois J. Math. (1957), 509–544. Google Scholar

[2] 2. Diestel, J. and Uhl, J. J., Vector measures, Math Surveys of the AMS 75 (1977). Google Scholar | DOI

[3] 3. Ghoussoub, N. and Saab, E., On the weak Radon Nikodym property, Proc. AMS. 81 (1981), 81–84. Google Scholar

[4] 4. Granirer, E. E., Exposed points of convex sets and weak sequential convergence, Memoir of the AMS. 123 (1972). Google Scholar

[5] 5. Granirer, E. E., Extremely amenable semigroups I(II), Math. Scand. 17 (1965), 177–197 (120 (1967) 93–113). Google Scholar

[6] 6. Granirer, E. E., Geometric and topological properties of certain w*-compact convex subsets of double duals of Banach spaces, which arise from the study of invariant means, to appear in Illinois J. Math. Google Scholar

[7] 7. Holmes, R. B., A geometric characterisation of non atomic measure spaces, Math. Ann. 182 (1969), 55–59. Google Scholar

[8] 8. Lindenstrauss, J., Weakly compact sets, their topological properties and Banach spaces they generate, Proc. Symp. Infinite dimensional topology (1967). Ann. of Math Studies 69 (1972), 235–273, Princeton. Google Scholar

[9] 9. Losert, V. and Rindler, H., Almost invariant sets, Bull. London Math. Soc. 13 (1981), 145–148. Google Scholar

[10] 10. Phelps, R. R., Dentability and extreme points in Banach spaces, J. Funct. Anal. 16 (1974), 78–90. Google Scholar

[11] 11.Rainwater Seminar, Lecture notes 1977. Google Scholar

[12] 12. Rosenblatt, J., Uniqueness of invariant means for measure preserving transformations, Trans AMS 265 (1981), 623–636. Google Scholar

[13] 13. Rudin, W., Real and complex analysis (McGraw-Hill, 1974). Google Scholar

[14] 14. Saab, E., Some characterisations of weak Radon Nikodym sets, Proc. AMS 86 (1982), 307–311. Google Scholar

[15] 15. Schaefer, H. H., Banach lattices and positive operators (Springer-Verlag, 1974). Google Scholar | DOI

[16] 16. Segal, I., Equivalences of measures spaces, Amer. J. Math. 73 (1951), 275–313. Google Scholar

[17] 17. Stegall, C., The Radon-Nikodym property in conjugate Banach spaces II, Trans AMS 264 (1981), 507–519. Google Scholar

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