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Multiplicative Isometries and Isometric Zero-Divisors

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Author

Summary, in English

For some Banach spaces of analytic functions in the unit disk (weighted Bergman spaces, Bloch space, Dirichlet-type spaces), the isometric pointwise multipliers are found to be unimodular constants. As a consequence, it is shown that none of those spaces have isometric zero-divisors. Isometric coefficient multipliers are also investigated.

Publishing year

2010

Language

English

Pages

961-974

Publication/Series

Canadian Journal of Mathematics

Volume

62

Issue

5

Document type

Journal article

Publisher

Canadian Mathematical Society

Topic

  • Mathematics

Keywords

  • multipliers
  • pointwise
  • Dirichlet-type spaces
  • Dirichlet space
  • Bloch space
  • Bergman spaces
  • Banach spaces of analytic functions
  • Hardy spaces
  • zero-divisors
  • isometric
  • isometrics
  • coefficient multipliers

Status

Published

ISBN/ISSN/Other

  • ISSN: 0008-414X