On isometric equivalence of certain Volterra operators
HTML articles powered by AMS MathViewer
- by G. K. Kalisch
- Proc. Amer. Math. Soc. 12 (1961), 93-98
- DOI: https://doi.org/10.1090/S0002-9939-1961-0120507-X
- PDF | Request permission
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.
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