REAL AND COMPLEX LINEAR EXTENSIONS FOR LOCALLY CONVEX CONES

Authors
Citation
W. Roth, REAL AND COMPLEX LINEAR EXTENSIONS FOR LOCALLY CONVEX CONES, Journal of functional analysis, 151(2), 1997, pp. 437-454
Citations number
5
ISSN journal
00221236
Volume
151
Issue
2
Year of publication
1997
Pages
437 - 454
Database
ISI
SICI code
0022-1236(1997)151:2<437:RACLEF>2.0.ZU;2-E
Abstract
A locally convex cone is called linear over R (resp. C) if the scalar multiplication is extended to all real (resp. complex) numbers and a w eakened version of the distributive law holds. We show that every loca lly convex cone may be embedded into a cone that is linear over R (res p. C). We investigate continuous linear Functionals on these cones and introduce a new (modular) topology. (C) 1997 Academic Press.