A class of Toeplitz operators with hypercyclic subspaces

2013/09/29 by Andrei Lishanskii, Lishanskii, Andrei
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA

paper · pdf · doi:10.48550/arxiv.1309.7627

5 pages

openalex publication_date 2013/09/29 · arxiv created 2014/01/08 · arxiv updated 2014/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use a theorem by Gonzalez, Leon-Saavedra and Montes-Rodriguez to construct a class of coanalytic Toeplitz operators which have an infinite-dimensional closed subspace, where any non-zero vector is hypercyclic.

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