Zero products of Toeplitz operators
(2009) In Duke Mathematical Journal 148(3). p.373-403- Abstract
- We prove that the product of finitely many Toeplitz operators oil the Hardy space is zero if and only if at least one of the operators is zero. We use some new vector-valued techniques that not only lead to a vector-valued version of this result but also appear to be needed in the scalar case.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1441457
- author
- Aleman, Alexandru LU and Vukotic, Dragan
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Duke Mathematical Journal
- volume
- 148
- issue
- 3
- pages
- 373 - 403
- publisher
- Duke University Press
- external identifiers
-
- wos:000267201400001
- scopus:70449636430
- ISSN
- 0012-7094
- DOI
- 10.1215/00127094-2009-029
- language
- English
- LU publication?
- yes
- id
- 7eefa29e-4d22-4be3-9161-60adb7f7548e (old id 1441457)
- date added to LUP
- 2016-04-01 14:35:07
- date last changed
- 2022-03-29 21:41:16
@article{7eefa29e-4d22-4be3-9161-60adb7f7548e,
abstract = {{We prove that the product of finitely many Toeplitz operators oil the Hardy space is zero if and only if at least one of the operators is zero. We use some new vector-valued techniques that not only lead to a vector-valued version of this result but also appear to be needed in the scalar case.}},
author = {{Aleman, Alexandru and Vukotic, Dragan}},
issn = {{0012-7094}},
language = {{eng}},
number = {{3}},
pages = {{373--403}},
publisher = {{Duke University Press}},
series = {{Duke Mathematical Journal}},
title = {{Zero products of Toeplitz operators}},
url = {{http://dx.doi.org/10.1215/00127094-2009-029}},
doi = {{10.1215/00127094-2009-029}},
volume = {{148}},
year = {{2009}},
}