论文标题

正常运算符的分解及其在光谱定理中的应用

Decomposition of Normal Operators and Its Application to Spectral Theorem

论文作者

Nakagawa, Katsukuni

论文摘要

Riesz和Lorch证明的自我预科运算符的分解定理扩展到普通运算符。该扩展为无界正常运算符的光谱定理提供了新的证明。

A decomposition theorem for self-adjoint operators proved by Riesz and Lorch is extended to normal operators. This extension gives a new proof of the spectral theorem for unbounded normal operators.

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