Articles

Schatten-class operators and frames

Published in: Quaestiones Mathematicae
Volume 34 , issue 2 : Entrepreneurship and Africa’s Cultural Context , 2024 , 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,
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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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