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. 142. ISSN Online: 14243202 Print: 14243199

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Official URL: https://dx.doi.org/10.1007/s0002801804711
Abstract
We study functions of bounded variation with values in a Banach or in a metric space. In finite dimensions, there are three wellknown 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 PreprintTitle: The space of bounded variation with infinitedimensional 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 
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