Work

Quasi-rigid operators and hyperrecurrence

Year: 2026

Type: article

Abstract: We study recurrent operators from a new perspective by introducing the notion of hyperrecurrent operators and establish robust connections with quasi-rigid operators. For example, we prove that a recurrent operator on a separable Banach space is quasi-rigid if and only if it is a linear factor of a hyperrecurrent operator, and show that the quasi-rigid operators found in Costakis, Manoussos and Parissis’s work, along with many others, are, in fact, hyperrecurrent operators.

Source: Studia Mathematica

DOI: 10.4064/sm250610-8-1

Authors: Manuel Saavedra, Manuel Stadlbauer

Institution: Universidade Federal do Rio de Janeiro

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Awards: G1182869520, G1840770272, G2311368543, G933372841