Open Access
August 2009 A fixed point property characterizing inner amenable locally compact semigroups
B. Mohammadzadeh, R. Nasr-Isfahani
Bull. Belg. Math. Soc. Simon Stevin 16(3): 525-532 (August 2009). DOI: 10.36045/bbms/1251832377

Abstract

For a locally compact semigroup $\frak S$, we study a fixed point property in terms of left Banach $\frak S$-modules; we also use this property to give a characterization for inner amenability of $\frak S$.

Citation

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B. Mohammadzadeh. R. Nasr-Isfahani. "A fixed point property characterizing inner amenable locally compact semigroups." Bull. Belg. Math. Soc. Simon Stevin 16 (3) 525 - 532, August 2009. https://doi.org/10.36045/bbms/1251832377

Information

Published: August 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1196.43003
MathSciNet: MR2566872
Digital Object Identifier: 10.36045/bbms/1251832377

Subjects:
Primary: ‎43A07‎ , 43A10 , 43A20 , 46H05

Keywords: fixed point property , inner amenability , Inner invariant mean , left Banach modules , locally compact semigroup , weak$^*$ operator topology

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 3 • August 2009
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