Image transformations on locally compact spaces

2017/06/25 by Taraldsen, Gunnar
#28A25 #28C15 #46J10 #46L30 #81P10 #FOS: Mathematics #Functional Analysis (math.FA) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1706.08170

Abstract

An image is here defined to be a set which is either open or closed and an image transformation is structure preserving in the following sense: It corresponds to an algebra homomorphism for each singly generated algebra. The results extend parts of results of J.F. Aarnes on quasi-measures, -states, -homomorphisms, and image-transformations from the setting compact Hausdorff spaces to locally compact Hausdorff spaces.

Related

• An Algebraic and Logical approach to continuous images
• Quasi-linear maps and image transformations
• A new duality theorem for locally compact spaces
• Open mappings of locally compact groups
• A general Stone representation theorem