An abstract characterization of Schatten’s ideal C 2
In this paper we establish abstract characterizations of the sequence space l 2 and the Schatten ideal
C 2 , and present our main results in this direction.
1. C. Bennett, R. Sharpley, Interpolation of Operators, Academic Press Inc., 1988.
2. T. Fack, H. Kosaki, Generalized s-numbers of τ-measurable operators, Pacific. J. Math., 123 (1986), 269–
300.
3. I.C. Gohberg, M.G. Krein, Introduction to the theory of linear nonselfadjoint operators, Translations of
Mathematical Monographs 18, Amer. Math. Soc., Providence, RI 02904, 1969.
4. S. Lord, F. Sukochev, D. Zanin, Singular Traces, Walter de Gruyter GmbH, Berlin/Boston, 2013.
5. B. Simon, Trace Ideals and Their Applications, 120, Second edition, Mathematical Surveys and
Monographs, American Mathematical Society, Providence, RI, 2005.
6. S. Stratila, L. Zsido, Lectures on von Neumann algebras, Editura Academiei, Bucharest, 1979. Revision of
the 1975 original, Translated from the Romanian by Silviu Teleman.
Copyright (c) 2025 «ACTA NUUz»
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
.jpg)
1.png)
