Articles

Schatten-class operators and frames

Published in: Quaestiones Mathematicae
Volume 34 , issue 2 , 2011 , pages: 203–211

DOI: 10.2989/16073606.2011.594235

Author(s): Yoo Young Koo , Republic of Korea , Jae Kun Lim Department of Applied Mathematics, Republic of Korea

Keywords: Primary 47B10 , Secondary 42C15 , Primary 47B10 , Secondary 42C15

Abstract

By extending the works of Arias et al. and Balazs we present a natural sufficient condition via frames for the membership of the Schatten p-class operators for 1 ≤ p ≤ 2, and show that such a condition is not sufficient to guarantee the membership of the Schatten-class operators for p > 2.

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