Convergence in generalized Schatten classes of operators

Convergence in generalized Schatten classes of operators

In this paper we give definitions for several generalized Schatten classes of operators and prove that several properties from the classes <em>S_p</em> can be generalized to them. The main goal is characterization of convergence in these classes. We also will prove that they are quasi-Ba...

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Main Authors: J. M. Almira, F. Pérez-Acosta
Format: Article
Language:English
Published: Università degli Studi di Catania 1998-10-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/370
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spelling doaj-982307395b9747d5b3b11f147868d2682020-11-25T03:41:46ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981998-10-01532305317346Convergence in generalized Schatten classes of operatorsJ. M. AlmiraF. Pérez-AcostaIn this paper we give definitions for several generalized Schatten classes of operators and prove that several properties from the classes <em>S_p</em> can be generalized to them. The main goal is characterization of convergence in these classes. We also will prove that they are quasi-Banach spaces.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/370
collection DOAJ
language English
format Article
sources DOAJ
author J. M. Almira
F. Pérez-Acosta
spellingShingle J. M. Almira
F. Pérez-Acosta
Convergence in generalized Schatten classes of operators
Le Matematiche
author_facet J. M. Almira
F. Pérez-Acosta
author_sort J. M. Almira
title Convergence in generalized Schatten classes of operators
title_short Convergence in generalized Schatten classes of operators
title_full Convergence in generalized Schatten classes of operators
title_fullStr Convergence in generalized Schatten classes of operators
title_full_unstemmed Convergence in generalized Schatten classes of operators
title_sort convergence in generalized schatten classes of operators
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 1998-10-01
description In this paper we give definitions for several generalized Schatten classes of operators and prove that several properties from the classes <em>S_p</em> can be generalized to them. The main goal is characterization of convergence in these classes. We also will prove that they are quasi-Banach spaces.<br />
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/370
work_keys_str_mv AT jmalmira convergenceingeneralizedschattenclassesofoperators
AT fperezacosta convergenceingeneralizedschattenclassesofoperators
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