Schatten classes of matrices in a generalized $\mathcal{B}(l_{2})$

Jitti Rakbud; Pachara Chaisuriya

doi:10.4134/JKMS.2010.47.1.29

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

QR
Code

Article

HOME

ALL ARTICLES

View

J. Korean Math. Soc. 2010; 47(1): 29-40

Printed January 1, 2010

https://doi.org/10.4134/JKMS.2010.47.1.29

Schatten classes of matrices in a generalized $\mathcal{B}(l_{2})$

Jitti Rakbud and Pachara Chaisuriya

Silpakorn University and Mahidol University

Abstract

Go to

Abstract

In this paper, we study a generalization of the Banach space $\mathcal{B}(l_{2})$ of all bounded linear operators on $l_{2}$. Over this space, we present some reasonable ways to define Schatten-type classes which are generalizations of the classical Schatten classes of compact operators on $l_{2}$.

Keywords: compact operator, Schatten $p$-class, singular values

MSC numbers: Primary 47L10; Secondary 47L20