An extension of the Kreĭn-Smulian and Lozanovskii theorems to metrizable spaces with a cone

DOI10.1134/S1995080211040299zbMath1260.46001OpenAlexW2109971444MaRDI QIDQ694458

Oleg E. Tikhonov, Lidia V. Veselova

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080211040299

zbMATH Keywords

conepositive linear operatorKreĭn-Smulian theoremmetrizable topological vector space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

A non-commutative version of Nikishin's theorem

Cites Work

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• Positive operators on Krein spaces
• Introduction to the theory of noncommutative integration
• Existence of common fixed points for commutative sets of nonlinear operators

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