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The two-sided closed ideals of the algebra of bounded linear operators of a Hilbert space. (English) Zbl 0197.11301


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[1] N. I. Achieser, I. M. Glasmann: Theorie der linearen Operatoren im Hilbert-Raum. Akademie-Verlag, Berlin, 1954. · Zbl 0056.11101
[2] J. W. Calkin: Twosided ideals and congruences in the ring of bounded operators in Hilbert space. Ann. of Math. 42 (1941), 839-873. · Zbl 0063.00692 · doi:10.2307/1968771
[3] H. O. Cordes: On a class of \(C\)-algebras. Math. Annalen 170 (1967), 283-313. · Zbl 0154.15105 · doi:10.1007/BF01350606
[4] J. Dieudonné: Foundations of modern analysis. Academic Press, 1960. · Zbl 0100.04201
[5] N. Dunford, J. T. Schwartz: Linear operators. part I, Interscience Publishers, New York, 1958. · Zbl 0084.10402
[6] E. Kamke: Mengenlehre. Sammlung Göschen Band 999, Berlin 1955. · JFM 54.0088.01
[7] L. H. Loomis: An introduction to abstract harmonic analysis. D. van Nostrand comp., 1953. · Zbl 0052.11701
[8] B. S. Nagy: Spektraldarstellung linearer Transformationen des Hilbertschen Raumes. Springer-Verlag, Berlin, 1942. · Zbl 0027.22701
[9] F. Rellich: Störungstheorie der Spektralzerlegung. Math. Annalen 118 (1942), 462-484. · Zbl 0027.22702 · doi:10.1007/BF01487382
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