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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

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
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, Translated from the Russian by A. Feinstein. Translations of Mathematical Monographs, Vol. 24, American Mathematical Society, Providence, R.I., 1970. MR 0264447 (41 #9041)
  • 3. Hans Ludwig Hamburger, Über die Zerlegung des Hilbertschen Raumes durch vollstetige lineare Transformationen, Math. Nachr. 4 (1951), 56–69 (German). MR 0040587 (12,718b)
  • 4. A. S. Markus, A spectral synthesis problem for operators with point spectrum, Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 662–688 (Russian). MR 0264436 (41 #9030)
  • 5. N. K. \cyr{N}ikol′skiĭ, Izbrannye zadachi vesovoi approksimatsii i spektralnogo analiza, Izdat. “Nauka” Leningrad. Otdel., Leningrad, 1974 (Russian). Trudy Mat. Inst. Steklov. 120 (1974). MR 0467269 (57 #7133a)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13693-7
PII: S 0002-9904(1975)13693-7