NUMERICAL RANGES OF SOME FOGUEL OPERATORS

被引：0

作者：

Jiang, Muyan ^{[1
]}

Spitkovsky, Ilya M. ^{[1
]}

机构：

[1] New York Univ Abu Dhabi NYUAD, Div Sci & Math, POB 129188, Abu Dhabi, U Arab Emirates

来源：

OPERATORS AND MATRICES | 2023年 / 17卷 / 01期

关键词：

Numerical range; Foguel operator; Toeplitz operator; Schur complement;

D O I：

10.7153/oam-2023-17-14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Foguel operator is defined as FT = [S* T], where S is the right shift on a Hilbert 0 S space 7-l and T is an arbitrary bounded linear operator acting on 7-l. Obviously, the numerical range W (F0) of FT with T = 0 is the open unit disk, and it was suggested by Gau, Wang and Wu in their Linear Algebra and Applications (2021) paper that W (FaI) for non-zero a E C might be an elliptical disk. In this paper, we described W (FaI) explicitly and, as it happens, it is not.

引用

页码：179 / 185

页数：7

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