On isometric equivalence of certain Volterra operators
Author:
G. K. Kalisch
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
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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 https://doi.org/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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Article copyright:
© Copyright 1961
American Mathematical Society
