Geometric properties of composition operators belonging to Schatten classes

Geometric properties of composition operators belonging to Schatten classes

We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto's conjectures and show a...

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Main Author: Yongsheng Zhu
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201003726
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spelling doaj-03697f1a62ec400c882f844911584ea12020-11-25T00:03:46ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126423924810.1155/S0161171201003726Geometric properties of composition operators belonging to Schatten classesYongsheng Zhu0Fair Isaac 2150 Shattuck Avenue, Berkeley, CA 94704, USAWe investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto's conjectures and show a new compact composition operator which is not in any of the Schatten classes.http://dx.doi.org/10.1155/S0161171201003726
collection DOAJ
language English
format Article
sources DOAJ
author Yongsheng Zhu
spellingShingle Yongsheng Zhu
Geometric properties of composition operators belonging to Schatten classes
International Journal of Mathematics and Mathematical Sciences
author_facet Yongsheng Zhu
author_sort Yongsheng Zhu
title Geometric properties of composition operators belonging to Schatten classes
title_short Geometric properties of composition operators belonging to Schatten classes
title_full Geometric properties of composition operators belonging to Schatten classes
title_fullStr Geometric properties of composition operators belonging to Schatten classes
title_full_unstemmed Geometric properties of composition operators belonging to Schatten classes
title_sort geometric properties of composition operators belonging to schatten classes
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
description We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto's conjectures and show a new compact composition operator which is not in any of the Schatten classes.
url http://dx.doi.org/10.1155/S0161171201003726
work_keys_str_mv AT yongshengzhu geometricpropertiesofcompositionoperatorsbelongingtoschattenclasses
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