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The Resource The corona problem : connections between operator theory, function theory, and geometry, Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick, editors

The corona problem : connections between operator theory, function theory, and geometry, Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick, editors

Editor
Contributor
Summary
The purpose of the corona workshop was toconsider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, and records some of the ideas that were developed within. The corona problem dates back to 1941. It has exerted a powerful influence over mathematical analysis for nearly 75 years. There is material to help bring people up to speed in the latest ideas of the subject, as well as historical material to provide background. Particularly noteworthy is a history of the corona problem, authored by the five organizers, that provides a unique glimpse at how the problem and its many different solutions have developed. There has never been a meeting of this kind, and there has never been a volume of this kind. Mathematicians-both veterans and newcomers-will benefit from reading this book. This volume makes a unique contribution to the analysis literature and will be a valuable part of the canon for many years to come
Language
eng
Work
Publication
Extent
1 online resource (viii, 231 pages)
Contents
  • 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 Polynomials: 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)
Isbn
9781493912544
Instance
Label
The corona problem : connections between operator theory, function theory, and geometry
Title
The corona problem
Title remainder
connections between operator theory, function theory, and geometry
Statement of responsibility
Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick, editors
Contributor
Editor
Subject
Language
eng
Summary
The purpose of the corona workshop was toconsider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, and records some of the ideas that were developed within. The corona problem dates back to 1941. It has exerted a powerful influence over mathematical analysis for nearly 75 years. There is material to help bring people up to speed in the latest ideas of the subject, as well as historical material to provide background. Particularly noteworthy is a history of the corona problem, authored by the five organizers, that provides a unique glimpse at how the problem and its many different solutions have developed. There has never been a meeting of this kind, and there has never been a volume of this kind. Mathematicians-both veterans and newcomers-will benefit from reading this book. This volume makes a unique contribution to the analysis literature and will be a valuable part of the canon for many years to come
Member of
Cataloging source
GW5XE
Dewey number
515.9
Illustrations
illustrations
Index
no index present
LC call number
QA331
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Fields Institute Communications,
Series volume
volume 72
Label
The corona problem : connections between operator theory, function theory, and geometry, Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick, editors
Publication
Antecedent source
unknown
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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 Polynomials: 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)
Control code
ocn887810348
Dimensions
unknown
Extent
1 online resource (viii, 231 pages)
File format
unknown
Form of item
online
Isbn
9781493912544
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4939-1255-1
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
http://library.link/vocab/recordID
.b31757200
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)887810348
  • springer1493912542
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