The Corona Problem: Connections Between Operator Theory, Function Theory, and Geometry

by Ronald G. Douglas (Editor), Steven G. Krantz (Editor), Eric T. Sawyer (Editor)

The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick).- Corona Problem for H^\infty on Riemann Surfaces (A. Brudnyi).- Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas).- On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier).- A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane).- The Corona Problem in Several Complex Variables (S.G. Krantz).- Corona-Type Theorems and Division in Some Function Algebras on Planar Domains (R. Mortini, R. Rupp).- The Ring of Real-Valued Multivariate An Analyst's Perspective (R. Mortini, R. Rupp).- Structure in the Spectra of Some Multiplier Algebras (R. Rochberg).- Corona Solutions Depending Smoothly on Corona Data (S. Treil, B.D. Wick).- On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk (T.T. Trent).

240 pages, Paperback

First published August 31, 2014