• A Note on the Fuglede-Putnam Theorem

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/123/02/0253-0256

• Keywords

Unbounded normal operator; abelian von Neumann algebra; bounding sequence.

• Abstract

We prove the following generalization of the Fuglede–Puntam theorem. Let 𝑁 be an unbounded normal operator in the Hilbert space, and let 𝐴 be an unbounded self-adjoint operator such that $D(N)\subseteq D(A)$. Then, $AN\subseteq N^∗A\Rightarrow AN^∗\subseteq NA$.

• Author Affiliations

1. Department of Mathematics, St. Francis College, 180 Remsen Street, Brooklyn Heights, New York 11201, USA

• Proceedings – Mathematical Sciences

Volume 132, 2022
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Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019