The Norm and Modulus of a Foguel Operator

被引：13
作者：
Garcia, Stephan Ramon [1 ]
机构：
[1] Pomona Coll, Dept Math, Claremont, CA 91711 USA
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2009年 / 58卷 / 05期
基金：
美国国家科学基金会;
关键词：
Complex symmetric operator; Foguel operator; Hankel operator; Foguel-Hankel operator; power bounded operator; polynomially bounded operator; similarity; contraction; Golden Ratio; conjugation; COMPLEX SYMMETRIC-OPERATORS;
D O I：
10.1512/iumj.2009.58.3735
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio.
引用
收藏
页码：2305 / 2315
页数：11
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