Minimal projections onto subspaces generated by sign-matrices

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Approximation Theory Pub Date : 2024-07-26 DOI:10.1016/j.jat.2024.106084

Beata Derȩgowska , Barbara Lewandowska , Grzegorz Lewicki

引用次数: 0

Abstract

The aim of this paper is to calculate relative and absolute projection constants of certain subspaces of $l_{1}^{(n)}$ and $l_{\infty}^{(n)}$ generated by eigenvectors of sign matrices. The main tool in our considerations is so called Chalmers–Metcalf operator (see Chalmers & Metcalf (1994) and Lewicki & Prophet (2021)). Also, some results from Castejon & Lewicki (2014) and Castejon & Lewicki (2019) will be applied.

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符号矩阵生成的子空间上的最小投影

本文旨在计算由符号矩阵特征向量生成的 l1(n) 和 l∞(n) 的某些子空间的相对和绝对投影常数。我们考虑的主要工具是所谓的 Chalmers-Metcalf 算子（见 Chalmers & Metcalf (1994) 和 Lewicki & Prophet (2021)）。此外，我们还将应用 Castejon & Lewicki (2014) 和 Castejon & Lewicki (2019) 的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Approximation Theory 数学-数学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas. These areas include, among others: • Classical approximation • Abstract approximation • Constructive approximation • Degree of approximation • Fourier expansions • Interpolation of operators • General orthogonal systems • Interpolation and quadratures • Multivariate approximation • Orthogonal polynomials • Padé approximation • Rational approximation • Spline functions of one and several variables • Approximation by radial basis functions in Euclidean spaces, on spheres, and on more general manifolds • Special functions with strong connections to classical harmonic analysis, orthogonal polynomial, and approximation theory (as opposed to combinatorics, number theory, representation theory, generating functions, formal theory, and so forth) • Approximation theoretic aspects of real or complex function theory, function theory, difference or differential equations, function spaces, or harmonic analysis • Wavelet Theory and its applications in signal and image processing, and in differential equations with special emphasis on connections between wavelet theory and elements of approximation theory (such as approximation orders, Besov and Sobolev spaces, and so forth) • Gabor (Weyl-Heisenberg) expansions and sampling theory.