Multiplicative Isometries and Isometric Zero-Divisors
Författare
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.
Avdelning/ar
Publiceringsår
2010
Språk
Engelska
Sidor
961-974
Publikation/Tidskrift/Serie
Canadian Journal of Mathematics
Volym
62
Issue
5
Dokumenttyp
Artikel i tidskrift
Förlag
Canadian Mathematical Society
Ämne
- Mathematics
Nyckelord
- 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/Övrigt
- ISSN: 0008-414X