FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Lattice normed lattices with monotonically complete and order semicontinuous norm |
V. I. Chilin, M. M. Yusupova |
2014, issue 2, P. 280–296 |
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. |
Keywords: lattice normed lattice, conditions $(B)$ and $(C)$, disjoint decomposable norm |
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References |
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