View in EDS PDF Full Text

Operator Analysis : Hilbert Space Methods in Complex Analysis

Saved in:
Bibliographic Details
Title: Operator Analysis : Hilbert Space Methods in Complex Analysis
Description: This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.
Authors: Jim Agler, John Edward McCarthy, Nicholas John Young
Resource Type: eBook.
Subjects: Holomorphic functions, Operator theory, Hilbert space, Geometric function theory
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2359408
RelevancyScore: 1097
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1096.64697265625
IllustrationInfo
ImageInfo – Size: thumb
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$2359408$PDF&s=r
– Size: medium
  Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$2359408$PDF&s=d
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Operator Analysis : Hilbert Space Methods in Complex Analysis
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Jim+Agler%22">Jim Agler</searchLink><br /><searchLink fieldCode="AR" term="%22John+Edward+McCarthy%22">John Edward McCarthy</searchLink><br /><searchLink fieldCode="AR" term="%22Nicholas+John+Young%22">Nicholas John Young</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Holomorphic+functions%22">Holomorphic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+function+theory%22">Geometric function theory</searchLink>
– Name: SubjectBISAC
  Label: Categories
  Group: Su
  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Abstract%22">MATHEMATICS / Algebra / Abstract</searchLink>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=2359408
RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.724
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Holomorphic functions
        Type: general
      – SubjectFull: Operator theory
        Type: general
      – SubjectFull: Hilbert space
        Type: general
      – SubjectFull: Geometric function theory
        Type: general
    Titles:
      – TitleFull: Operator Analysis : Hilbert Space Methods in Complex Analysis
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Jim Agler
      – PersonEntity:
          Name:
            NameFull: John Edward McCarthy
      – PersonEntity:
          Name:
            NameFull: Nicholas John Young
      – PersonEntity:
          Name:
            NameFull: Jim Agler
      – PersonEntity:
          Name:
            NameFull: John Edward McCarthy
      – PersonEntity:
          Name:
            NameFull: Nicholas John Young
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
            – D: 20
              M: 08
              Type: profile
              Y: 2020
          Identifiers:
            – Type: isbn-print
              Value: 9781108485449
            – Type: isbn-electronic
              Value: 9781108621205
          Numbering:
            – Type: volume
              Value: 00219
          Titles:
            – TitleFull: Operator Analysis : Hilbert Space Methods in Complex Analysis
              Type: main
ResultId 1