Mind Duggal Transforms
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Mind Duggal Transforms
Author(s) :
Journal title :
Filomat
Pages :
5863-5870
Publisher :
University of Nis
Publication date :
2019
ISSN :
0354-5180
HAL domain(s) :
Mathématiques [math]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
English abstract : [en]
It is known that if an operator $T$ is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn't inherit this property. For instance, we'll ...
Show more >It is known that if an operator $T$ is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn't inherit this property. For instance, we'll show that the Duggal transform isn't always complex symmetric when $T$ is, as it was claimed in \cite{Ga}.Show less >
Show more >It is known that if an operator $T$ is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn't inherit this property. For instance, we'll show that the Duggal transform isn't always complex symmetric when $T$ is, as it was claimed in \cite{Ga}.Show less >
Language :
Anglais
Popular science :
Non
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