Banach function spaces on locally compact groups

Przemysław Górka; Paweł Pośpiech

doi:10.1215/20088752-2019-0002

Abstract

We study Banach function spaces (BFS) on locally compact topological groups. We focus on totally bounded sets in BFS. We obtain the Riesz–Kolmogorov compactness theorem as well as the Sudakov theorem.

Citation

Download Citation

Przemysław Górka. Paweł Pośpiech. "Banach function spaces on locally compact groups." Ann. Funct. Anal. 10 (4) 460 - 471, November 2019. https://doi.org/10.1215/20088752-2019-0002

Information

Received: 20 September 2018; Accepted: 9 January 2019; Published: November 2019

First available in Project Euclid: 23 October 2019

zbMATH: 07126064

MathSciNet: MR4026360

Digital Object Identifier: 10.1215/20088752-2019-0002

Subjects:

Primary: 46B50

Secondary: 28C10 , 46B42 , 46E30

Keywords: Banach function spaces , compactness , Riesz–Kolmogorov theorem , Sudakov theorem , topological groups

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS