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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Bibliographic Details
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
Description
Summary: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 />
ISSN:0373-3505
2037-5298