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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 2, Pages 280–296 (Mi dvmg293)  
Lattice normed lattices with monotonically complete and order semicontinuous norm

V. I. Chilina, M. M. Yusupovab

a National University of Uzbekistan named after M. Ulugbek, Faculty of Mathematics and Mechanics, Tashkent
b Gubkin Russian State University of Oil and Gas
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Abstract: The topological and order properties of the lattice normed lattices (LNL) with monotonically complete and order semicontinuous norm, taking their values in extended Kantorovich – Pinsker spaces, are studied. It is proved the “vector” variant of Abramovich theorem, giving the criterion of $(bo)$-completeness of LNL.
Key words: lattice normed lattice, conditions (B) and (C), disjoint decomposable norm.
Received: 01.12.2013
Document Type: Article
UDC: 517.98
MSC: Primary 46A19; Secondary 46E30
Language: Russian
Citation: V. I. Chilin, M. M. Yusupova, “Lattice normed lattices with monotonically complete and order semicontinuous norm”, Dal'nevost. Mat. Zh., 14:2 (2014), 280–296
Citation in format AMSBIB
\Bibitem{ChiYus14}
\by V.~I.~Chilin, M.~M.~Yusupova
\paper Lattice normed lattices
with monotonically complete and order semicontinuous norm
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 2
\pages 280--296
\mathnet{http://mi.mathnet.ru/dvmg293}
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