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Invariant Subspaces of the Shift Operator (Contemporary Mathematics)

Mathematical Analysis

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Description

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

Product Specifications

Format: paperback
ASIN: 1470410451
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 June 2015
Listed Since: 16 April 2015

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Invariant Subspaces of the Shift Operator (Contemporary Mathematics)

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