Translation-invariant maps and applications

被引：11

作者：

Niezgoda, Marek ^{[1
]}

机构：

[1] Univ Life Sci Lublin, Dept Appl Math & Comp Sci, PL-20950 Lublin, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 01期

关键词：

Translation-invariant map; Preorder; Vectorial interval; Numerical radius; G(c)-range; G-majorization; Commutator; G-contractive map; Eigenvalue; Singular value; Gruss type inequality; INNER-PRODUCT SPACES; COMMUTATORS; INEQUALITY; NORMS; MAJORIZATION;

D O I：

10.1016/j.jmaa.2008.12.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study translation-invariant maps on a linear space. A method for estimating quantities induced by such maps is presented. Applications for differences of operators, commutators, G-contractive maps and Gruss type inequalities are also given. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：111 / 124

页数：14

共 50 条

[1] Translation-invariant wavelet representation algorithm with applications
Cornell Univ, Ithaca, United States
[J]. IEEE Trans Signal Process, 2 (225-232):
[2] A translation-invariant wavelet representation algorithm with applications
Liang, J
Parks, TW
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (02) : 225 - 232
[3] Translation-invariant propelinear codes
Rifa, J
Pujol, J
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1997, 43 (02) : 590 - 598
[4] COMPLEMENTED TRANSLATION-INVARIANT SUBSPACES
ALSPACH, DE
[J]. LECTURE NOTES IN MATHEMATICS, 1988, 1332 : 112 - 125
[5] TRANSLATION-INVARIANT LINEAR FORMS
WOODWARD, GS
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (05): : A528 - A528
[6] Translation-Invariant Scene Grouping
Su, Pin-Ching
Chen, Hwann-Tzong
Ito, Koichi
Aoki, Takafumi
[J]. 2011 FIRST ASIAN CONFERENCE ON PATTERN RECOGNITION (ACPR), 2011, : 234 - 238
[7] STRUCTURE OF TRANSLATION-INVARIANT MEMORIES
COFFMAN, CV
SCHAFFER, JJ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 16 (03) : 428 - 459
[8] Translation-Invariant Noncommutative Renormalization
Tanasa, Adrian
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2010, 6
[9] CAUSALITY OF TRANSLATION-INVARIANT SYSTEMS
BALAKRIS.VK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 36 (03) : 638 - &
[10] Translation-invariant topological superconductors on a lattice
Kou, Su-Peng
Wen, Xiao-Gang
[J]. PHYSICAL REVIEW B, 2010, 82 (14):

← 1 2 3 4 5 →