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Multiplicative Isometries and Isometric Zero-Divisors

Aleman, Alexandru LU ; Duren, Peter ; Martin, Maria J. and Vukotic, Dragan (2010) In Canadian Journal of Mathematics 62(5). p.961-974
Abstract
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.
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
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
in
Canadian Journal of Mathematics
volume
62
issue
5
pages
961 - 974
publisher
Canadian Mathematical Society
external identifiers
  • wos:000282246500001
  • scopus:79958057884
ISSN
0008-414X
DOI
10.4153/CJM-2010-048-7
language
English
LU publication?
yes
id
e430a2df-a612-45f1-afa9-e33ebd7dbf0f (old id 1695398)
date added to LUP
2016-04-01 14:30:27
date last changed
2022-01-28 00:57:26
@article{e430a2df-a612-45f1-afa9-e33ebd7dbf0f,
  abstract     = {{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.}},
  author       = {{Aleman, Alexandru and Duren, Peter and Martin, Maria J. and Vukotic, Dragan}},
  issn         = {{0008-414X}},
  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}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{961--974}},
  publisher    = {{Canadian Mathematical Society}},
  series       = {{Canadian Journal of Mathematics}},
  title        = {{Multiplicative Isometries and Isometric Zero-Divisors}},
  url          = {{http://dx.doi.org/10.4153/CJM-2010-048-7}},
  doi          = {{10.4153/CJM-2010-048-7}},
  volume       = {{62}},
  year         = {{2010}},
}