BILATERAL WEIGHTED SHIFT OPERATORS SIMILAR TO NORMAL OPERATORS

被引：1

作者：

Geher, Gyorgy Pal ^{[1
,2
]}

机构：

[1] Univ Szeged, Bolyai Inst, Aradi Vertanuk Tere 1, H-6720 Szeged, Hungary

[2] Univ Debrecen, Inst Math, MTA De Lendulet Funct Anal Res Grp, POB 12, H-4010 Debrecen, Hungary

来源：

OPERATORS AND MATRICES | 2016年 / 10卷 / 02期

关键词：

Bilateral weighted shift operator; similarity to normal operators; BOUNDED OPERATOR; HILBERT-SPACE; CONTRACTION;

D O I：

10.7153/oam-10-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an injective, not necessarily bounded weighted bilateral shift operator on l(2)(Z) is similar to a normal operator if and only if it is similar to a scalar multiple of the simple (i.e. unweighted) bilateral shift operator S.

引用

页码：419 / 423

页数：5

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