A note on the existence of shape-preserving projections
Rocky Mountain Journal of Mathematics
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.
Original Publication Date
DOI of published version
Mupasiri, D. and Prophet, M. P., "A note on the existence of shape-preserving projections" (2007). Faculty Publications. 2576.