Inner invariant means on locally compact topological semigroups

Mohammadzadeh, B.; Nasr-Isfahani, R.

Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 129-144 / Harvested from Project Euclid

Résumé

Let ${\cal S}$ be a locally compact semigroup and $M_a({\cal S})$ be its semigroup algebra. In this paper, we investigate inner invariant means on $L^\infty({\cal S},M_a({\cal S}))$ of all $M_a( {\cal S})$-measurable complex-valued bounded functions on ${\cal S}$ and its closed subspace $C_b({\cal S})$, the space of all bounded continuous complex-valued functions on ${\cal S}$. We also study topological inner invariant means on certain closed subspaces $X$ of $L^\infty({\cal S},M_a({\cal S}))$ and their relation with inner invariant means on $X$.

Publié le : 2009-02-15
Classification: Inner invariant mean, locally compact semigroup, topological inner invariant means, 43A07, 43A10, 43A15, 43A20

@article{1235574197,
     author = {Mohammadzadeh, B. and Nasr-Isfahani, R.},
     title = {Inner invariant means on locally compact topological semigroups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 129-144},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574197}
}

Mohammadzadeh, B.; Nasr-Isfahani, R. Inner invariant means on locally compact topological semigroups. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  129-144. http://gdmltest.u-ga.fr/item/1235574197/