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Point Sequences in Infinite-Dimensional Spaces and Integration of Functions

✍ Scribed by Kanevskii, V. A.; Lev, G. Sh.

Book ID
118220485
Publisher
Society for Industrial and Applied Mathematics
Year
1983
Tongue
English
Weight
457 KB
Volume
27
Category
Article
ISSN
0040-585X

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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