Repository: Freie Universität Berlin, Math Department

Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space

Heida, M. and Patterson, R. I. A and Renger, M. (2018) Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. J. Evol. Equ. . pp. 1-42. ISSN Online: 1424-3202 Print: 1424-3199

[img]
Preview
PDF - Draft Version
614kB

Official URL: https://dx.doi.org/10.1007/s00028-018-0471-1

Abstract

We study functions of bounded variation with values in a Banach or in a metric space. In finite dimensions, there are three well-known topologies; we argue that in infinite dimensions there is a natural fourth topology. We provide some insight into the structure of these four topologies. In particular, we study the meaning of convergence, duality and regularity for these topologies and provide some useful compactness criteria, also related to the classical Aubin–Lions theorem. After this we study the Borel

Item Type:Article
Additional Information:SFB 1114 Preprint in WIAS Preprint No. 2353: 12/2016 (Titel der Publikation weicht ab von Preprint-Title: The space of bounded variation with infinite-dimensional codomain / http://dx.doi.org/10.20347/WIAS.PREPRINT.2353)
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:2157
Deposited By: Silvia Hoemke
Deposited On:12 Dec 2017 14:25
Last Modified:09 Jan 2019 12:20

Repository Staff Only: item control page