论文标题

fuglede-putnam定理的无限概括以及对自我接合操作员的通勤性的应用

Unbounded generalizations of the Fuglede-Putnam theorem and applications to the commutativity of self-adjoint operators

论文作者

Dehimi, Souheyb, Mortad, Mohammed Hichem, Bachir, Ahmed

论文摘要

在本文中,我们证明并反驳了Fuglede-Putnam定理的无限版本的几种概括。作为应用程序,我们提供条件,以保证有一个有界自动接合操作员的通勤性,并提供了无限的封闭对称操作员。

In this article, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem. As applications, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetric operator.

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