Minimal projections onto subspaces generated by sign-matrices

被引：0

作者：

Deregowska, Beata ^{[1
]}

Lewandowska, Barbara ^{[2
]}

Lewicki, Grzegorz ^{[2
]}

机构：

[1] Univ Natl Educ Commiss, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland

[2] Jagiellonian Univ, Fac Math & Comp Sci, Lojasiewicza 6, PL-30048 Krakow, Poland

来源：

JOURNAL OF APPROXIMATION THEORY | 2024年 / 304卷

关键词：

Minimal projection; Projection constants; Sign-matrices; UNIQUENESS;

D O I：

10.1016/j.jat.2024.106084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to calculate relative and absolute projection constants of certain subspaces of l ( n ) 1 and l ( n ) infinity 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. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：22

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