Strong Carleman operators are of Hilbert-Schmidt type
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- by Joachim Weidmann PDF
- Bull. Amer. Math. Soc. 74 (1968), 735-737
References
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1. T. Carleman, Sur les équations intégrales singulières à noyau réel et symétrique, Lundequistska Bokhandeln, Uppsala, 1923.
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473 3. J. von Neumann, Charakterisierung des Spektrums eines Integraloperators, Hermann, Paris, 1935.
- M. Schreiber, Semi-Carleman operators, Acta Sci. Math. (Szeged) 24 (1963), 82–87. MR 152889
- Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877, DOI 10.1090/coll/015
- György I. Targonski, Seminar on functional operators and equations, Lecture Notes in Mathematics, No. 33, Springer-Verlag, Berlin-New York, 1967. Forschungsinstitut für Mathematik, ETH, Zürich, October 1965/July 1966. MR 0217655
Additional Information
- Journal: Bull. Amer. Math. Soc. 74 (1968), 735-737
- DOI: https://doi.org/10.1090/S0002-9904-1968-12019-1
- MathSciNet review: 0227821