NDLI: Extensions of positive projections

Content Provider	Springer Nature Link
Author	Toumi, Mohamed Ali
Copyright Year	2001
Abstract	The main purpose of this paper is the following Theorem: letE be a Dedekind complete Riesz space (vector lattice), letA be a vector subspace of it which majorizesE and letx $_{0}$ be an element ofE−A. IfT $_{0}$ is a positive projection onA, then there existsy $_{0}$∈E such thatT $_{0}$ can be extended to a positive projection onA+ℝx $_{0}$+ℝy $_{0}$.
Starting Page	499
Ending Page	508
Page Count	10
File Format	PDF
ISSN	0009725X
Journal	Rendiconti del Circolo Matematico di Palermo
Volume Number	50
Issue Number	3
e-ISSN	19734409
Language	English
Publisher	Springer-Verlag
Publisher Date	2001-01-01
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	majorizing subspace vector lattice dedekind complete vector lattice Ordered topological linear spaces, vector lattices Mathematics Algebra Geometry Analysis Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Extensions of positive projections