论文标题
S官能微积分的新方法
A new approach to the S-functional calculus
论文作者
论文摘要
在本文中，我们首先证明了两侧Quaternionic Banach空间上有界的右Quaternioninion线性算子的S频谱是某些有界线性算子在复杂的Banach空间上的频谱的结合。此外，我们表明S官能结石是由Riesz-Dunford功能演算获得的，用于复杂的线性算子。我们还简单地证明了一些已经存在的结果。
In this paper, we first prove that the S-spectrum of a bounded right quaternionic linear operator on a two-sided quaternionic Banach space is a union of the spectrum of some bounded linear operators on a complex Banach space. Furthermore, we show that the S-functional calculus is obtained by the Riesz-Dunford functional calculus for complex linear operators. We also give simple proofs of some already existing results.
