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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On isometric equivalence of certain Volterra operators
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by G. K. Kalisch
Proc. Amer. Math. Soc. 12 (1961), 93-98
DOI: https://doi.org/10.1090/S0002-9939-1961-0120507-X
References
    S. Banach, Théorie des opérations linéaires, Warszawa, 1932. M. S. Brodskiĭ and M. S. Livšic, Spektral’nyi analiz nesamosopryažennyh operatorov i promežutočnye sistemy, Uspehi Mat. Nauk vol. 13 (1958) pp. 3-85.
  • G. K. Kalisch, On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators, Ann. of Math. (2) 66 (1957), 481–494. MR 91443, DOI 10.2307/1969905
  • —, On similarity invariants of certain operators in ${L_p}$, Pacific J. Math., to appear. L. A. Sahnovič, O privedeniĭ vol’terrovskih operatorov ${k}$ prosteĭšemu vidu i obratnyh sadačah, Izv. Akad. Nauk SSSR. Ser. Mat. vol. 21 (1957) pp. 235-262. —, Spektral’nyi analiz operatorov vida $Kf = \smallint _0^xf(t)k(x - t)dt$, Izv. Akad. Nauk SSSR. Ser. Mat. vol. 22 (1958) pp. 299-308.
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Bibliographic Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 12 (1961), 93-98
  • MSC: Primary 44.00; Secondary 45.00
  • DOI: https://doi.org/10.1090/S0002-9939-1961-0120507-X
  • MathSciNet review: 0120507