@misc{10498/38177,
year = {2025},
month = {5},
url = {http://hdl.handle.net/10498/38177},
abstract = {In this paper, we study the minimality of the commutant of an analytic Toeplitz operator Mφ, when Mφ is defined on the Hardy space H2(D) and φ∈H∞(D) denotes a bounded analytic function in D. Specifically, we show that the commutant of Mφ is minimal if and only if the polynomials on φ are weak star dense in H∞(D), that is, φ is a weak star generator of H∞(D). We use our result to characterize when the double commutant of an analytic Toeplitz operator Mφ is minimal for a large class of symbols φ. Specifically, when φ is an entire function, or more generally, when φ belongs to the Thomson–Cowen class.},
publisher = {Birkhauser},
keywords = {Analytic Toeplitz operator},
keywords = {Double commutant property},
keywords = {Minimal commutant},
title = {Minimal commutant and double commutant property for analytic Toeplitz operators},
doi = {10.1007/S43037-025-00426-5},
author = {González Fuentes, María José and León Saavedra, Fernando},
}