On the reduction of powers of self-adjoint operators

Autor:	Kebli, Salima, Mortad, Mohammed Hichem
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	Let $T\in B(H)$ be such that $T^n$ is self-adjoint for some $n\in\mathbb{N}$ with $n\geq 3$. The paper's primary aim is to establish the conditions that lead to the self-adjointness of $T$. We pay particular attention to the case where $T^3=0$ and how it implies $T$ is complex symmetric.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.13861 Zobrazit plný text záznamu View this record from Arxiv