Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606885 | Journal of Approximation Theory | 2016 | 22 Pages |
Abstract
The purpose of this paper is to find the relative projection constant of ker{1}={x:∑i=1nxi=0} in ℓpn for an arbitrary nn (see Theorem 2.28). This extends a result of L. Skrzypek obtained for n=3,4n=3,4. We also improve on the formula for the relative projection constant onto hyperplanes in Lp[0,1]Lp[0,1] obtained by C. Franchetti (see Theorem 2.21) and reprove a result of S. Rolewicz (see Corollary 2.11).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Grzegorz Lewicki, Lesław Skrzypek,