Open Access
October 2017 Point multipliers and the Gleason–Kahane–Żelazko theorem
Razieh Sadat Ghodrat, Fereshteh Sady
Banach J. Math. Anal. 11(4): 864-879 (October 2017). DOI: 10.1215/17358787-2017-0021


Let A be a Banach algebra, and let X be a left Banach A-module. In this paper, using the notation of point multipliers on left Banach modules, we introduce a certain type of spectrum for the elements of X and we also introduce a certain subset of X which behaves as the set of invertible elements of a commutative unital Banach algebra. Among other things, we use these sets to give some Gleason–Kahane–Żelazko theorems for left Banach A-modules.


Download Citation

Razieh Sadat Ghodrat. Fereshteh Sady. "Point multipliers and the Gleason–Kahane–Żelazko theorem." Banach J. Math. Anal. 11 (4) 864 - 879, October 2017.


Received: 3 August 2016; Accepted: 5 December 2016; Published: October 2017
First available in Project Euclid: 17 August 2017

zbMATH: 06841258
MathSciNet: MR3708533
Digital Object Identifier: 10.1215/17358787-2017-0021

Primary: 46H25
Secondary: 47B33 , 47B48

Keywords: Banach modules , function modules , Gleason–Kahane–Żelazko theorem , point multipliers , spectrum-preserving maps

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 4 • October 2017
Back to Top