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This article is cited in 1 scientific paper (total in 1 paper)
The continuity of semiadditive functionals
E. I. Smirnov Yaroslavl State Pedagogical Institute
Abstract:
In this paper we examine a general principle of continuity of semiadditive functionals on a metric linear space (MLS) that extends various results obtained previously in this respect. In particular, from our fundamental Theorem 1 it is easy to obtain Banach's closed graph theorem, the Banach–Steinhaus theorem, the weak base theorem, and others.
Received: 10.06.1975
Citation:
E. I. Smirnov, “The continuity of semiadditive functionals”, Mat. Zametki, 19:4 (1976), 541–548; Math. Notes, 19:4 (1976), 329–333
Linking options:
https://www.mathnet.ru/eng/mzm7772 https://www.mathnet.ru/eng/mzm/v19/i4/p541
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Abstract page: | 214 | Full-text PDF : | 85 | First page: | 1 |
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