On ideals of compact operators
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- by J. S. Morrell, M. S. Hsieh and J. R. Retherford PDF
- Bull. Amer. Math. Soc. 80 (1974), 907-909
References
- Arlen Brown, Carl Pearcy, and Norberto Salinas, Ideals of compact operators on Hilbert space, Michigan Math. J. 18 (1971), 373–384. MR 291819
- J. W. Calkin, Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math. (2) 42 (1941), 839–873. MR 5790, DOI 10.2307/1968771 3. I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonself-adjoint operators in Hilbert space, "Nauka", Moscow, 1965; English transl., Transl. Math. Monographs, vol. 18, Amer. Math. Soc. Providence, R.I., 1969. MR 36 #3137; 39 #7447.
- Robert Schatten, Norm ideals of completely continuous operators, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 27, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. MR 0119112, DOI 10.1007/978-3-642-87652-3 5. A. Pietsch, The ideals l(E,F), 0pare small (to appear).
- C. V. Hutton, J. S. Morrell, and J. R. Retherford, Approximation numbers and Kolmogoroff diameters of bounded linear operators, Bull. Amer. Math. Soc. 80 (1974), 462–466. MR 336391, DOI 10.1090/S0002-9904-1974-13450-6
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 907-909
- MSC (1970): Primary 47B05, 41A45
- DOI: https://doi.org/10.1090/S0002-9904-1974-13568-8
- MathSciNet review: 0412830