基于迭代Cauchy公式的实谱非交换算子的谓词演算
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula
摘要：
在具有实谱和预解式的巴拿赫空间上，利用迭代柯西公式，对（无界）算子$A_j$的非交换元组定义了光滑谓词演算.建设也扩展到元组更一般的运营商允许顺利的功能calculii。我们还讨论了与交换算子的情况的关系。
英文摘要：
We define a smooth functional calculus for a non-commuting tuple of (unbounded) operators $A_j$ on a Banach space with real spectra and resolvents with temperate growth, by means of an iterated Cauchy formula. The construction is also extended to tuples of more general operators allowing smooth functional calculii. We also discuss the relation to the case with commuting operators.
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