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Analysis and synthesis for the point and unitary spectra. I


Author: N. K. Nikol′skiĭ
Journal: Bull. Amer. Math. Soc. 81 (1975), 169-172
MSC (1970): Primary 47A10; Secondary 47Bxx, 47A20
DOI: https://doi.org/10.1090/S0002-9904-1975-13693-7
Part II: Bull. Amer. Math. Soc., Volume 81, Number 1 (1975), 173--176
MathSciNet review: 0365177
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  • 1. I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfad-joint 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. I. C. Gohberg and M. G. Kreĭn, Theory and applications of Volterra operators in Hilbert space, "Nauka", Moscow, 1967; English transl., Transl. Math. Monographs, vol. 24, Amer. Math. Soc., Providence, R. I, 1970. MR 36 #2007; 41 #9041. MR 264447
  • 3. H. L. Hamburger, Über der Zerlegung des Hilbertschen Raumes durch vollstetige lineare Transformationen, Math. Nachr. 4 (1951), 56-69. MR 12, 718. MR 40587
  • 4. A. S. Markus, A spectral synthesis problem for operators with point spectrum, Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 662-688 = Math. USSR 4 (1970), 670-696. MR 41 #9030. MR 264436
  • 5. N. K. Nikol'skiĭ, Selected topics in weighted approximation and spectral analysis, Trudy Mat. Inst. Steklov. 120 (1974). (Russian) MR 467269

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DOI: https://doi.org/10.1090/S0002-9904-1975-13693-7

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