球上一些加权组合算子的谱

IF 0.5 Q3 MATHEMATICS ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-05-04 DOI:10.1007/s44146-023-00089-4

Scott Kaschner, Trieu Le, Chloe Makdad, Benjamin Rempfer, Derek Thompson, DeJuan Winters

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引用次数: 0

摘要

我们找到了单位球的自映射在迭代下一致收敛于整个球上的不动点或幂等点的充分条件。利用这些工具，我们在球的Hardy和Bergman空间上建立了加权复合算子的谱包含。当组合符号属于Schur-Agler类时，我们建立了这些加权组合算子的谱半径。

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Spectra of some weighted composition operators on the ball

We find sufficient conditions for a self-map of the unit ball to converge uniformly under iteration to a fixed point or idempotent on the entire ball. Using these tools, we establish spectral containments for weighted composition operators on Hardy and Bergman spaces of the ball. When the compositional symbol is in the Schur–Agler class, we establish the spectral radii of these weighted composition operators.

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