## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Module Maps and Invariant Subsets of Banach Modules of Locally Compact Groups

Hawa Alsanousi Hamouda

#### Abstract

For a locally compact group $G$, Lau and Ghaffari provided many results about $G$-invariant subsets of $G$-modules, and the relationship between $G$-module maps, $L^1(G)$-module maps and $M(G)$- module maps. In both papers their results were specified for one module action. In this paper we extend many of their results to arbitrary Banach $G$-modules and $G$-module maps.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 21, Number 2 (2014), 253-261.

Dates
First available in Project Euclid: 20 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1400592623

Digital Object Identifier
doi:10.36045/bbms/1400592623

Mathematical Reviews number (MathSciNet)
MR3211014

Zentralblatt MATH identifier
1295.43005

#### Citation

Hamouda, Hawa Alsanousi. Module Maps and Invariant Subsets of Banach Modules of Locally Compact Groups. Bull. Belg. Math. Soc. Simon Stevin 21 (2014), no. 2, 253--261. doi:10.36045/bbms/1400592623. https://projecteuclid.org/euclid.bbms/1400592623