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The solution by iteration of linear functional equations in Banach spaces
Author(s):
F. E.
Browder;
W. V.
Petryshyn
Journal:
Bull. Amer. Math. Soc.
72
(1966),
566-570.
MathSciNet review:
0190744
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- H. Bialy, Iterative Behandlung linearer Funktionalleichungen, Arch. Rational Mech. Anal. 4 (1959), 166-176. MR 110215
- 2.
- F. E. Browder, On the iteration of transformations in noncompact minimal dynamical systems, Proc. Amer. Math. Soc. 9 (1958), 773-780. MR 96975
- 3.
- N. Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321-354. MR 63563
- 4.
- M. A. Krasnoselskii, On the solution of equations with self-adjoint operators by the method of successive approximations, Uspehi Mat. Nauk 15 (1960), 161-165. MR 119100
- 5.
- W. V. Petryshyn, The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space, J. Soc. Indust. Appl. Math. 10 (1962), 675-690. MR 165723
- 6.
- F. Riesz and B. Sz-Nagy, Lecons d'analyse fonctionnelle, Akadémiai Kiado, Budapest, 1952.
- 7.
- G. C. Rota, An "altermierende Verfahren" for general positive operators, Bull. Amer. Math. Soc. 68 (1962), 95-102. MR 133847
- 8.
- E. M. Stein, On the maximal ergodic theorem, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1894-1897. MR 131517
Additional Information:
DOI:
10.1090/S0002-9904-1966-11543-4
PII:
S 0002-9904(1966)11543-4
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