| Title | Multiplicative Isometries and Isometric Zero-Divisors |
| Authors | Alexandru Aleman, Peter Duren, Maria J. Martin, Dragan Vukotic |
| Alternative Location | http://dx.doi.org/10.4153/C..., Restricted Access |
| Publication | Canadian Journal of Mathematics-Journal Canadien de Mathematiques |
| Year | 2010 |
| Volume | 62 |
| Issue | 5 |
| Pages | 961 - 974 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Canadian Mathematical Soc |
| Abstract 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. |
| 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, |
| ISBN/ISSN/Other | ISSN: 0008-414X |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)