Two points, one limit: Homogenization techniques for two-point local algebras

被引：1

作者：

Roch, Steffen ^{[2
]}

Santos, Pedro A. ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 391卷 / 02期

关键词：

Convolution operators; Banach algebras; Local principles; Homogenization techniques;

D O I：

10.1016/j.jmaa.2012.02.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study several algebras generated by convolution, multiplication and flip operators on L-p(R), their Calkin counterparts and derive new isomorphism relations. We introduce a new class of homogenization strong limits, compatible with the flip operator and which explore the properties of the Fourier transform in L-p(R), when p not equal 2. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：552 / 566

页数：15

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