Functions of bounded variation on infinite-dimensional spaces with measures
β Scribed by Bogachev, V. I.; Rebrova, E. A.
- Book ID
- 120509670
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2013
- Tongue
- English
- Weight
- 210 KB
- Volume
- 87
- Category
- Article
- ISSN
- 1064-5624
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π SIMILAR VOLUMES
## Abstract We study the bounded approximation property for spaces of holomorphic functions. We show that if __U__ is a balanced open subset of a FrΓ©chetβSchwartz space or (__DFM__ )βspace __E__ , then the space βοΈ(__U__ ) of holomorphic mappings on __U__ , with the compactβopen topology, has the b
The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on R n failing