Invariant Subspaces of the Shift Operator (Contemporary Mathematics, 638) - Softcover

Softcover

ISBN 10: 1470410451 ISBN 13: 9781470410452

Publisher: Amer Mathematical Society

Synopsis

This volume contains the proceedings of the CRM Workshop on Invariant Subspaces of the Shift Operator, held August 26-30, 2013, at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada.The main theme of this volume is the invariant subspaces of the shift operator (or its adjoint) on certain function spaces, in particular, the Hardy space, Dirichlet space, and de Branges-Rovnyak spaces.These spaces, and the action of the shift operator on them, have turned out to be a precious tool in various questions in analysis such as function theory (Bieberbach conjecture, rigid functions, Schwarz-Pick inequalities), operator theory (invariant subspace problem, composition operator), and systems and control theory. Of particular interest is the Dirichlet space, which is one of the classical Hilbert spaces of holomorphic functions on the unit disk. From many points of view, the Dirichlet space is an interesting and challenging example of a function space. Though much is known about it, several important open problems remain, most notably the characterization of its zero sets and of its shift-invariant subspaces.

About this title

About the Author:

Javad Mashreghi, Laval University, Quebec, Canada.Emmanuel Fricain, Universite Lille 1, Villeneuve d'Ascq, France.William Ross, University of Richmond, VA.

About this edition

• Publisher: Amer Mathematical Society
• ISBN 10: 1470410451
• ISBN 13: 9781470410452
• Binding: Paperback
• Number of pages: 317
• Editor: Mashreghi Javad, Fricain Emmanuel, Ross William