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• W2977552127 abstract "In the recent paper by Mark C. Ho (2014) the notion of a $lambda$-Toeplitz operator on the Hardy space $H^2(mathbb{T})$ over the one-dimensional torus $mathbb{T}$ was introduced and it was shown (under the supplementary condition) that for $lambdain mathbb{T}$ the essential spectrum of such an operator is invariant with respect to the rotation $zmapsto lambda z$; if in addition $lambda$ is not of finite order the essential spectrum is circular. In this paper, we generalize these results to the case when $mathbb{T}$ is replaced by an arbitrary compact Abelian group whose dual is totally ordered." @default.
• W2977552127 created "2019-10-10" @default.
• W2977552127 creator A5060542840 @default.
• W2977552127 date "2019-02-22" @default.
• W2977552127 modified "2023-09-27" @default.
• W2977552127 title "On the essential spectrum of $lambda$-Toeplitz operators over compact Abelian groups" @default.
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