Vol. 179, No. 2, 1997

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Closed commutants of the backward shift operator

Daniel Suárez

Vol. 179 (1997), No. 2, 371–396
Abstract

We characterize the closed operators with domain contained in the Hardy space H2 that commute with the backward shift. Also, we give necessary and sufficient conditions for such an operator to be a Toeplitz operator with symbol the complex conjugate of a function in H2. In particular, we show that this fact depends only on the domain.

Milestones
Received: 14 April 1994
Revised: 5 September 1996
Published: 1 June 1997
Authors
Daniel Suárez
Instituto Argentino de Matemáticas
Viamonte 1636, 1er. Cuerpo, 1er. Piso
(1055) Buenos Aires
Argentina