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Approximation numbers and Kolmogoroff diameters of bounded linear operators


Authors: C. V. Hutton, J. S. Morrell and J. R. Retherford
Journal: Bull. Amer. Math. Soc. 80 (1974), 462-466
MSC (1970): Primary 47A30, 47B05, 47B10
DOI: https://doi.org/10.1090/S0002-9904-1974-13450-6
MathSciNet review: 0336391
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  • 1. 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.
  • 2. A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955). MR 17, 763. MR 75539
  • 3. P. Johnson, Thesis, University of Michigan, Ann Arbor, Mich., 1973.
  • 4. J. Lindenstrauss and A. Pelczyński, Absolutely summing operators in L, Studia Math. 29 (1968), 275-326. MR 37 #6743. MR 231188
  • 5. A. S. Markus, Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space, Mat. Sb. 70 (112) (1966), 526-561; English transl., Amer. Math. Soc. Transl. (2) 85 (1969), 51-91. MR 35 #7151. MR 216316
  • 6. A. S. Markus and V. I.Macaev, Analogs of Weyl inequalities and trace theorems in a Banach space, Mat. Sb. 86 (128) (1971), 299-313 = Math. USSR Sb. 15 (1971), 299-334. MR 45 #7512. MR 298460
  • 7. B. S. Mitjagin and A. Pelczyński, Nuclear operators and approximative dimension, Proc. Internat. Congr. Math. (Moscow, 1966), "Mir, " Moscow, 1968, pp. 366-372; English transl., Amer. Math. Soc. Transl. (2) 70 (1968), 137-145. MR 39 #6046. MR 216304
  • 8. A. Pietsch, Einige neue Klassen von kompakten linearen Abbildungen, Rev. Math. Pures Appl. (Bucharest), 8 (1963), 427-447. MR 31 #3874. MR 179628

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DOI: https://doi.org/10.1090/S0002-9904-1974-13450-6

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