论文标题
Banach模块和应用中的封闭操作器功能演算
Closed operator functional calculus in Banach modules and applications
论文作者
论文摘要
我们描述了BANACH模块中的一个封闭的操作员功能演算，该模块是组代数$ l^1（\ Mathbb r）$，并用一些应用程序说明了其有用性。特别是，我们推断出功能性计算中运算符的光谱映射定理，该定理概括了一些已知的结果。我们还获得了某个类别扰动差分运算符的频谱的估计。
We describe a closed operator functional calculus in Banach modules over the group algebra $L^1(\mathbb R)$ and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional calculus, which generalizes some of the known results. We also obtain an estimate for the spectrum of a perturbed differential operator in a certain class.
