Faculty Publications

Title

A characterization and equations for minimal shape-preserving projections

Document Type

Article

Journal/Book/Conference Title

Journal of Approximation Theory

Volume

138

Issue

2

First Page

184

Last Page

196

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(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.

Original Publication Date

2-1-2006

DOI of published version

10.1016/j.jat.2005.11.006

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