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Almost convergence for not necessarily locally compact groups

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We discuss almost convergence phenomena for topological groups which need not be locally compact.

Abstract

We discuss almost convergence phenomena for topological groups which need not be locally compact.

참고문헌 (11)

  1. G. G. Lorentz, "A contribution to the theory of divergent sequences", Acta Math, 80, pp.167~190 (1948)
  2. J. C. Oxtoby, "Ergodic sets", Bull. Amer. Math. Soc, 58(2,), pp.116~136 (1952)
  3. W. F. Eberlein, "Abstract Ergodic theorems and weak almost periodic functions", Trans. Amer. Math. Soc, 67(1), pp.217~240 (1949)
  4. E. Granirer, "On Baire measures on D-topological spaces", Fund. Math, 60(1), pp.1~22 (1967)
  5. E. Granirer, "On finite equivalent invariant measures for semigroups of transformations", Duke Math. J, 38, pp.395~408 (1971)
  6. E. Granirer, "Criteria for compactness and for discreteness of locally compact amenable groups", Proc. Amer. Math. Soc, 40, pp.615~624 (1973)
  7. C. Chou, "Weakly almost periodic functions and almost convergent functions on a group", Trans. Amer. Math. Soc., 206, pp.175~200 (1975)
  8. E. E. Granirer, "On some spaces of linear functionals on the algebras Ap(G) for locally compact groups", Colloq. Math, 52(1), pp.119~132 (1987)
  9. A. I. Shtern, "Almost Convergence and Its Applications to the Fourier–Stieltjes Localization", Russ. J. Math. Phys, 1(1), pp.115~125 (1993)
  10. Greenleaf, F., "Invariant Means on Topological Groups and Their Applications" (1969), Van Nostrand
  11. Day, M., "Amenable semigroups", Illinois Math. J, 1(4), pp.509~544 (1957)

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