On absolutely continuous spectrum for one-channel unitary operators

Autor:	Bourget, Olivier, Moreno, Gregorio, Sadel, Christian, Taarabt, Amal
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Functional Analysis Mathematics - Spectral Theory 47B15 47B36 82B44
Druh dokumentu:	Working Paper
Popis:	In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers. Comment: 35 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.08898 Zobrazit plný text záznamu View this record from Arxiv