RT journal article
T1 Minimal commutant and double commutant property for analytic Toeplitz operators
A1 González Fuentes, María José
A1 León Saavedra, Fernando
A2 Matemáticas
K1 Analytic Toeplitz operator
K1 Double commutant property
K1 Minimal commutant
AB 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.
PB Birkhauser
SN 2662-2033
YR 2025
FD 2025-05-02
LK http://hdl.handle.net/10498/38177
UL http://hdl.handle.net/10498/38177
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026