Weighted shift and composition operators on lp which are (m, q)-isometries

被引：6

作者：

Bermudez, Teresa ^{[1
]}

Martinon, Antonio ^{[1
]}

Agustin Noda, Juan ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 505卷

关键词：

(m; q)-isometry; Strict; Weighted shift operator; Composition operator; M-ISOMETRIC TRANSFORMATIONS;

D O I：

10.1016/j.laa.2016.04.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain some conditions about the weighted shift and the composition operators on l(p) to be (m, q)-isometries. In particular, we prove that if T is a strict (2, q) isometry, then p = q, whether T is a weighted shift or a composition operator on l(p). Moreover, we characterize the admissible weights for the weighted shift to be a strict (3,p)-isometry on l(p). The case of strict (4,p) -isometry is also studied. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：152 / 173

页数：22

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