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Canonical forms of certain Volterra integral operators and a method of solving the commutator equations which involve them
Author(s):
Stanley J.
Osher
Journal:
Bull. Amer. Math. Soc.
73
(1967),
423-427.
MathSciNet review:
0208427
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- A. Dupras, Doctoral Thesis, New York University, New York, 1965.
- 2.
- J. M. Freeman, Volterra operators similar to $J:f(x)\to \int \sb{0}{}\spxf(y)dy$, Trans. Amer. Math. Soc. 116 (1965), 181-192. MR 192367
- 3.
- K. O. Friedrichs, Perturbations of continuous spectra, Comm. Pure Appl. Math. 1(1948), 361-406. MR 29100
- 4.
- G. K. Kalisch, On similarity, reducing manifolds, and unitary equivalence of certain volterra operators, Ann. of Math. (2) 66 (1957), 481-494. MR 91443
- 5.
- S. J. Osher, Necessary conditions for similarity of certain Volterra integral operators, Mem. Amer. Math. Soc. (to appear). MR 218935
- 6.
- S. J. Osher, Sufficient conditions for similarity of certain Volterra integral operators, Mem. Amer. Math. Soc. (to appear). MR 218936
- 7.
- G. K. Kalisch, On similarity invariants of certain Volterra operators in L, Pacific J. Math. 11 (1961), 247-252. MR 120508
- 8.
- G. K. Kalisch, On isometric equivalence of certain Volterra operators, Proc. Amer. Math. Soc. 12 (1961), 93-98. MR 120507
Additional Information:
DOI:
10.1090/S0002-9904-1967-11774-9
PII:
S 0002-9904(1967)11774-9
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