An abstract characterization of trace class ideal C
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Ushbu maqola l 1 ketma-ketlik fazosining va C 1 Shatten idealining abstrakt xarakterizatsiyalarini
berishga bag’ishlangan bo’lib, ularning har ikkisi ham o’z sinflarida tabiiy aksiomatik xossalari orqali
yagona tarzda aniqlanishi ko’rsatiladi.
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.
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