On lattice property of group induced cone orderings

Authors
Niezgoda, M
Citation
M. Niezgoda, On lattice property of group induced cone orderings, LIN ALG APP, 307(1-3), 2000, pp. 77-87
Citations number
20
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
307
Issue
1-3
Year of publication
2000
Pages
77 - 87
Database
ISI
SICI code
0024-3795(20000301)307:1-3<77:OLPOGI>2.0.ZU;2-W
Abstract
The problem of existence and uniqueness of greatest lower bound (glb) and l east upper bound (lub) of a set in group induced cone (GIC) ordering is dis cussed. Explicit formula for the gib is given. The results are applied to o btain the best possible upper bound in GIC ordering for values of linear an d nonnegative linear maps. (C) 2000 Elsevier Science Inc. All rights reserv ed.