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This article is cited in 2 scientific papers (total in 2 papers)
Some topics on the continuation and smoothing of vector functions
I. G. Tsar'kov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We consider problems of continuation of vector functions from a subspace to the entire space and of smoothing problems for these functions. It is shown that there exists a reflexive separable space X and a subspace Y such that even a very smooth mapping of Y does not extend to a uniformly continuous mapping of a neighborhood of Y.
Received: 16.05.1994 Revised: 10.03.1995
Citation:
I. G. Tsar'kov, “Some topics on the continuation and smoothing of vector functions”, Mat. Zametki, 58:6 (1995), 906–916; Math. Notes, 58:6 (1995), 1327–1335
Linking options:
https://www.mathnet.ru/eng/mzm2109 https://www.mathnet.ru/eng/mzm/v58/i6/p906
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Abstract page: | 260 | Full-text PDF : | 96 | References: | 56 | First page: | 1 |
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