A Characterization And Equations For Minimal Shape-Preserving Projections
Journal of Approximation Theory
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(X, V) be the set of all projections in ℬ. For a given cone S ⊂ X, we denote by P = PS(X, V) the set of operators P ∈ P such that PS ⊂ S. When PS ≠ Ø, we characterize those P ∈ PS for which ∥P∥ is minimal. This characterization is then utilized in several applications and examples. © 2005 Elsevier Inc. All Rights reserved.
Department of Mathematics
Original Publication Date
DOI of published version
Chalmers, B. L.; Mupasiri, D.; and Prophet, M., "A Characterization And Equations For Minimal Shape-Preserving Projections" (2006). Faculty Publications. 2815.