论文标题
加权构图运算符的光谱$ d $ part $ d $ part的banach $ c（k）$ - 模块
Spectrum of Weighted Composition Operators Part VI Essential spectra of $d$-endomorphisms of Banach $C(K)$-modules
论文作者
论文摘要
我们研究了作用于Banach $ c（k）$ - 模块的基本不相交的基本光谱的属性。特别是，我们证明，在某些非常温和的条件下，这种操作员的上半粉红色频谱是旋转不变的。在本文的最后一部分中，我们提供了对频谱的完整描述和作用于表格$ t = wu $的Kaplansky模块的运算符的基本光谱，其中$ w \ in C（k）$，$ u $是$ d $ is的典型，以及$ u $ $ u $的频谱是单位圆圈的子集。
We investigate properties of essential spectra of disjointness preserving operators acting on Banach $C(K)$-modules. In particular, we prove that under some very mild conditions the upper semi-Fredholm spectrum of such an operator is rotation invariant. In the last part of the paper we provide a full description of the spectrum and the essential spectra of operators acting on Kaplansky modules of the form $T = wU$, where $w \in C(K)$, $U$ is a $d$-isomorphism, and the spectrum of $U$ is a subset of the unit circle.
