Invariant subspaces of the shift operator : CRM Workshop Invariant Subspaces of the Shift Operator, August 26-30, 2013, Centre de Recherches Mathématiques, Université de Montréal, Montréal

Author(s)

• Mashreghi, Javad
• Fricain, Emmanuel
• Ross, William T.
• Workshop "Invariant Subspaces of the Shift Operator"

Bibliographic Information

Invariant subspaces of the shift operator : CRM Workshop Invariant Subspaces of the Shift Operator, August 26-30, 2013, Centre de Recherches Mathématiques, Université de Montréal, Montréal

Javad Mashreghi, Emmanuel Fricain, William Ross, editors

（Contemporary mathematics, 638 . Centre de Recherches Mathématiques proceedings）

American Mathematical Society , Centre de Recherches Mathématiques, c2015

Note

Includes bibliographical references

Description and Table of Contents

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.

Table of Contents

Approximation numbers of composition operators on a Hilbert space of Dirichlet series by H. Queffelec A short introduction to de Branges-Rovnyak spaces by D. Timotin Asymptotic Bohr radius for the polynomials in one complex variable by C. Chu A survey on preservers of spectra and local spectra by A. Bourhim and J. Mashreghi Commutants of finite Blaschke product multiplication operators by C. C. Cowen and R. G. Wahl Complex approximation and extension-interpolation on arbitrary sets in one dimension by P. M. Gauthier Cyclicity in non-extreme de Branges-Rovnyak spaces by E. Fricain, J. Mashreghi, and D. Seco Integral representations of the derivatives in $\mathcal{H}(b)$ spaces by E. Fricain and J. Mashreghi Interpolation and moment in weighted Hardy spaces by A. Boivin and C. Zhu Model spaces: A survey by S. R. Garcia and W. T. Ross Note on a Julia operator related to model spaces by D. Timotin Selected problems in classical function theory by C. Beneteau and D. Khavinson The linear bound for Haar multiplier paraproducts by K. Bickel, E. T. Sawyer, and B. D. Wick Transitivity and bundle shifts by R. G. Douglas and A. Xu Weak $H^1$, the real and complex case by V. V. Andreev and J. A. Cima

by "Nielsen BookData"

Details

• NCID: BB18536464
• ISBN:
  • 9781470410452
• LCCN: 2014038149
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.,Montréal
• Pages/Volumes: viii, 317 p.
• Size: 26 cm
• Classification:
  • LCC : QA329.2
  • DC23 : 515/.39
• Subject Headings:
  • LCSH : Shift operator (Operator theory) -- Congresses
  • LCSH : Hilbert space -- Congresses
  • LCSH : Banach spaces -- Congresses
• Parent Bibliography ID:
  • BA00009927