ALGEBRAIC PROPERTIES OF THE SET OF OPERATORS WITH 0 IN THE CLOSURE OF THE NUMERICAL RANGE

被引：3

作者：

Diogo, Cristina ^{[1
,2
]}

机构：

[1] Inst Univ Lisboa, Dept Matemat, P-1649026 Lisbon, Portugal

[2] Univ Lisbon, Ctr Math Anal Geometry & Dynam Syst, Dept Math, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

OPERATORS AND MATRICES | 2015年 / 9卷 / 01期

关键词：

Numerical range;

D O I：

10.7153/oam-09-04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sets of operators which have zero in the closure of the numerical range are studied. For some particular sets T subset of B(H), we characterize the set of all operators Lambda subset of B(H) such that 0 is an element of<(W(TA))over bar> for every T is an element of T.

引用

页码：83 / 93

页数：11

共 9 条

[1]

[Anonymous], 1967, A Hilbert space problem book

[2] When is zero in the numerical range of a composition operator? [J].

Bourdon, PS ;

Shapiro, JH .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2002, 44 (04) :410-441

[3]

Bracic J., MATH SLOVAC IN PRESS

[4] Numerical ranges of the powers of an operator [J].

Choi, Man-Duen ;

Li, Chi-Kwong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) :458-466

[5] Numerical ranges of nilpotent operators [J].

Gau, Hwa-Long ;

Wu, Pei Yuan .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (04) :716-726

[6]

Gustafson KE, 1997, NUMERICAL RANGE

[7] THE POSSIBLE SHAPES OF NUMERICAL RANGES [J].

Helton, J. William ;

Spitkovsky, I. M. .

OPERATORS AND MATRICES, 2012, 6 (03) :607-611

[8]

HORN RA, 1985, TOPICS MATRIX ANAL

[9] Matricial ranges of quadratic operators [J].

Tso, SH ;

Wu, PY .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1999, 29 (03) :1139-1152

← 1 →