Zobrazeno 1 - 10
of 38 087
pro vyhledávání: '"Adjoint operators"'
In this article we are interested for the numerical computation of spectra of non-self adjoint quadratic operators, in two and three spatial dimensions. Indeed, in the multidimensional case very few results are known on the location of the eignevalue
Externí odkaz:
http://arxiv.org/abs/2412.02465
Autor:
Aleksandrov, Aleksei, Peller, Vladimir
We study the behaviour of functions of self-adjoint operators under relatively bounded and relatively trace class perturbation We introduce and study the class of relatively operator Lipschitz functions. An essential role is played by double operator
Externí odkaz:
http://arxiv.org/abs/2411.01901
We analyze the properties of the spectral shift function (SSF) for some dispersive self-adjoint operators under suitable compact perturbations. New mechanisms allowing the SSF to have singularities at the thresholds are exhibited, based on the degene
Externí odkaz:
http://arxiv.org/abs/2409.13942
We briefly review the analytical continuation method for determining quasinormal modes (QNMs) and the associated frequencies in open systems. We explore two exactly solvable cases based on the P\"oschl-Teller potential to show that the analytical con
Externí odkaz:
http://arxiv.org/abs/2409.00857
Autor:
Matsunaga, Takashi
By nonstandard analysis, a very short and elementary proof of the Spectral Theorem for unbounded self-adjoint operators is given.
Externí odkaz:
http://arxiv.org/abs/2407.16136
Autor:
Kebli, Salima, Mortad, Mohammed Hichem
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 ho
Externí odkaz:
http://arxiv.org/abs/2407.13861
Autor:
Caruso, Noè Angelo
This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important phenomenon of `Krylov solvability' of linear inverse problems. Owing
Externí odkaz:
http://arxiv.org/abs/2404.19698