Faculty Publications
A Lower Bound Of The Strongly Unique Minimal Projection Constant Of L∞N, N ≥ 3
Document Type
Article
Journal/Book/Conference Title
Journal of Approximation Theory
Volume
145
Issue
1
First Page
111
Last Page
121
Abstract
In this paper we give a lower bound for the strongly unique minimal projection (with norm one) constant (SUP-constant) onto some (n - k)-dimensional subspaces of l∞n (n ≥ 3, 1 ≤ k ≤ n - 1). By Proposition 1 of this paper, each k-dimensional Banach space with polytope unit ball with m(k - 1) -dimensional faces is isometrically isomorphic to a subspace of l∞k + m - 1. As such the aforementioned estimation can be applied to spaces other than l∞n. We also include a conjecture about the exact calculations of SUP-constants in particular settings. © 2006 Elsevier Inc. All rights reserved.
Department
Department of Mathematics
Original Publication Date
3-1-2007
DOI of published version
10.1016/j.jat.2006.08.001
Recommended Citation
Odyniec, W. and Prophet, M. P., "A Lower Bound Of The Strongly Unique Minimal Projection Constant Of L∞N, N ≥ 3" (2007). Faculty Publications. 2647.
https://scholarworks.uni.edu/facpub/2647
