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Positivity

, Volume 15, Issue 4, pp 661–676 | Cite as

Envelopes and inequalities in vector lattices

  • A. G. KusraevEmail author
  • S. S. Kutateladze
Article

Abstract

The aim of this paper is to obtain a version of continuous functional calculus and some new envelope representation results in vector lattices as well as to indicate some applications.

Keywords

Vector lattice Functional calculus Envelope representation Convexity inequality Sublinear operator Superlinear operator Polyhedral operator Interval operator Interval analysis Subdifferential 

Mathematics Subject Classification (2000)

47A60 47B65 46A63 65G40 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Vladikavkaz Scientific Center of the Russian Academy of SciencesSouthern Mathematical InstituteVladikavkazRussia
  2. 2.Siberian Division of the Russian Academy of SciencesSobolev Institute of MathematicsNovosibirskRussia

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