Numerical range of the Foguel–Halmos operator

Hwa Long Gau, Kuo Zhong Wang, Pei Yuan Wu

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

We study properties of the numerical range of the Foguel–Halmos operator FT = [ S0∗ TS] on ℓ2 ⊕ ℓ2, where S is the simple unilateral shift and T = diag(a1, a2, . . .) with an = 1 if n = 3k for some k ≥ 1 and an = 0 otherwise. Among other things, we show that the numerical range W(FT ) is neither open nor closed, and give lower and upper bounds for the numerical radius w(FT ).

原文???core.languages.en_GB???
頁(從 - 到)267-292
頁數26
期刊Studia Mathematica
263
發行號3
DOIs
出版狀態已出版 - 2022

指紋

深入研究「Numerical range of the Foguel–Halmos operator」主題。共同形成了獨特的指紋。

引用此