Faculty Publications
A Note On The Existence Of Shape-Preserving Projections
Document Type
Article
Journal/Book/Conference Title
Rocky Mountain Journal of Mathematics
Volume
37
Issue
2
First Page
573
Last Page
585
Abstract
Let X denote a (real) Banach space and V an n-dimensional subspace. We denote by B = B(X, V) the space of all bounded linear operators from X into V; let P be the set of all projections in B. For a given cone S ⊂ X, we denote by P S the set projections P ∈ P such that PS ⊂ S. For a large class of cones S, we characterize when P S Ø. Copyright © 2007 Rocky Mountain Mathematics Consortium.
Department
Department of Mathematics
Original Publication Date
8-3-2007
DOI of published version
10.1216/rmjm/1181068767
Recommended Citation
Mupasiri, D. and Prophet, M. P., "A Note On The Existence Of Shape-Preserving Projections" (2007). Faculty Publications. 2576.
https://scholarworks.uni.edu/facpub/2576
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