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.
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页码：419 / 423
页数：5
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