Inequalities Characterizing Coisotone Cones in Euclidean Spaces

Sandor Nemeth

doi:10.1007/s11117-007-2109-3

Inequalities Characterizing Coisotone Cones in Euclidean Spaces

Sandor Nemeth

Mathematics

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

The isotone projection cone, defined by G. Isac and A. B. Nemeth, is a closed pointed convex cone such that the order relation defined by the cone is preserved by the projection operator onto the cone. In this paper the coisotone cone will be defined as the polar of a generating isotone projection cone. Several equivalent inequality conditions for the coisotonicity of a cone in Euclidean spaces will be given.

Original language	English
Pages (from-to)	469-475
Number of pages	7
Journal	Positivity
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/s11117-007-2109-3
Publication status	Published - 1 Aug 2007

Keywords

polar of a cone
isotone projection cones
coisotone cones
latticial cones

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10.1007/s11117-007-2109-3

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abstract = "The isotone projection cone, defined by G. Isac and A. B. Nemeth, is a closed pointed convex cone such that the order relation defined by the cone is preserved by the projection operator onto the cone. In this paper the coisotone cone will be defined as the polar of a generating isotone projection cone. Several equivalent inequality conditions for the coisotonicity of a cone in Euclidean spaces will be given.",

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AB - The isotone projection cone, defined by G. Isac and A. B. Nemeth, is a closed pointed convex cone such that the order relation defined by the cone is preserved by the projection operator onto the cone. In this paper the coisotone cone will be defined as the polar of a generating isotone projection cone. Several equivalent inequality conditions for the coisotonicity of a cone in Euclidean spaces will be given.

KW - polar of a cone

KW - isotone projection cones

KW - coisotone cones

KW - latticial cones

U2 - 10.1007/s11117-007-2109-3

DO - 10.1007/s11117-007-2109-3

M3 - Article

SN - 1572-9281

VL - 11

SP - 469

EP - 475

JO - Positivity

JF - Positivity

IS - 3

ER -

Inequalities Characterizing Coisotone Cones in Euclidean Spaces

Abstract

Keywords

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