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Matematicheskie Zametki, 1975, Volume 17, Issue 2, Pages 307–318 (Mi mzm7547)  
Properties of subspaces of the space of affine functions

G. M. Ustinov

Institute of Mathematics and Mechanics, Ural Branch of the AS of USSR
Full-text PDF (1030 kB)
Abstract: Conditions are presented for weak (strong) convergence, in the entire space $A(x)$, of a sequence of positive operators to a fixed operator $S$ on the basis of its weak (strong) convergence to $S$ in a subspace. The criterion of Bauer's simplex is presented.
Received: 01.10.1973
English version:
Mathematical Notes, 1975, Volume 17, Issue 2, Pages 177–182
DOI: https://doi.org/10.1007/BF01161877
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: G. M. Ustinov, “Properties of subspaces of the space of affine functions”, Mat. Zametki, 17:2 (1975), 307–318; Math. Notes, 17:2 (1975), 177–182
Citation in format AMSBIB
\Bibitem{Ust75}
\by G.~M.~Ustinov
\paper Properties of subspaces of the space of affine functions
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 2
\pages 307--318
\mathnet{http://mi.mathnet.ru/mzm7547}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=394164}
\zmath{https://zbmath.org/?q=an:0344.46023}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 2
\pages 177--182
\crossref{https://doi.org/10.1007/BF01161877}
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