References
Anderson J.: Commutators of compact operators. Journal fur die reine und auger Wandte Mathematik, Band 291 (1977), 128–132.
Anderson J. and Vaserstein L. N.: Commutators in ideals of trace class operators. Indiana Univ. Math. J. 35 (1986) 345–372.
Anderson J.: Commutators in ideals of trace class operators II. Indiana Univ. Math. J. 35 (1986) 373–378.
Blass A. and Weiss G., A characterization and sum decomposition of operator ideals. Trans. AMS, (246), 1978, 407–417.
Brown A. and Pearcy C., Structure of commutators of operators. Ann. of Math. (2) 82 (1965), 112–127.
Brown A., Pearcy C., and Salinas N., Ideals of compact operators on Hilbert space. Michigan Math. J. 18 (1971), 373–384.
Brown L. G., Finite rank commutators of C4 operators have trace O. Communication.
Calkin J. W., Two-sided ideals and congruences in the ring of bounded operators on Hilbert space. Ann. of Math. (2) 42 (1941), 839–873.
Gohberg I. C. and Krein M. G.,Introduction to the Theory of Linear Nonselfadjoint Operators. Translated from the Russian by A. Feinstein. Translations of Mathematical Monogrphs, Vol. 18. American Mathematical Society, Providence, Rhode Island, 1969.
Morris D. and Salinas N., Semiprime ideals and irreducible ideals of the ring of bounded operators on Hilbert space. Indiana Univ. Math. J. 23 (1973/74), 575–589.
Pearcy C. and Topping D., On commutators in ideals of compact operators. Michigan Math. J. 18 (1971), 247–252.
Salinas N., Ideals of commutators of compact operators. Acta. Sci. Math. 36 (1974), 131–144.
Salinas N., Symmetric norm ideals and relative conjugate ideals. Trans. Amer. Math. Soc. 188 (1974), 213–240.
Schatten R., Norm ideals of completely continuous operators. Ergebnisse der Mathematik und ihrer Grenzgebiete, N.F., Heft 27. Springer-Verlag, Berlin- Gottingen-Heidelberg, 1960
Weiss G.: Commutators and operator ideals. Dissertation (1975). Univ. of Michigan Microfilm.
Weiss G.: Commutators of Hilbert-Schmidt operators I. J. of Integral Equations and Operator Theory, Vol. 9 (1986), 877–892.
Weiss G.: Commutators of Hilbert-Schmidt operators II. J. of Integral Equations and Operator Theory, Vol. 3/4 (1980), 574–600.
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Research partially supported by NSF Grant DMS 8503390.
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Weiss, G. Classification of certain commutator ideals and the tensor product closure property. Integr equ oper theory 12, 99–128 (1989). https://doi.org/10.1007/BF01199759
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DOI: https://doi.org/10.1007/BF01199759