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摘要
We study properties of the numerical ranges of Foguel operators [Formula presetend], where S is the simple unilateral shift and T is some operator, both acting on ℓ2. Among other things, we show that (1) if T is nonzero compact, then the numerical radius w(FT) is strictly less than 1+(‖T‖/2), (2) if T is a diagonal unitary operator, then 5/2<w(FT)≤3/2, and (3) if T is a scalar operator aI, then the numerical range W(FT) is open and is not a circular disc unless a=0.
原文 | ???core.languages.en_GB??? |
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頁(從 - 到) | 766-784 |
頁數 | 19 |
期刊 | Linear Algebra and Its Applications |
卷 | 610 |
DOIs | |
出版狀態 | 已出版 - 1 2月 2021 |
指紋
深入研究「Numerical ranges of Foguel operators」主題。共同形成了獨特的指紋。專案
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