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A functional characterization of Markovian linear exaves
Author(s):
J. G.
Dhombres
Journal:
Bull. Amer. Math. Soc.
81
(1975),
703-706.
MSC (1970):
Primary 46E25, 47A65;
Secondary 39A40
MathSciNet review:
0377580
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Additional information
References:
- 1.
- E. Alfsen, Compact convex sets and boundary integrals, Springer-Verlag, Berlin, 1971. MR 445271
- 2.
- A. Pelczyński, Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions, Dissertationes Math. Rozprawy Mat. 58 (1968), 92 pp. MR 37 #3335. MR 227751
- 3.
- Z. Semadeni, Banach spaces of continuous functions. Vol. 1, Monografie Mat., tom 55, PWN, Warsaw, 1971. MR 45 #5730.
- 4.
- J. L. Kelley, Averaging operators on C, Illinois J. Math. 2 (1958), 214-223. MR 21 #2179. MR 103409
- 5.
- J. G. Dhombres, Sur les opérateurs multiplicativement liés, Mém. Bull. Soc. Math. France 27 (1971), 159 pp. MR 636337
- 6.
- D. E. Wulbert, Averaging projections, Illinois J. Math. 13 (1969), 689-693. MR 41 #833. MR 256176
- 7.
- J. G. Dhombres, Functional equations, averaging operators, interpolation operators and linear extension operators, Nanta Math. (Chinese) 1975. MR 467062
- 8.
- R. R. Phelps, Lectures on Choquet's theorem, Van Nostrand, Princeton, N. J., 1966. MR 33 #1690. MR 193470
- 9.
- J. G. Dhombres, Solution générale d'une équation fonctionnelle sur une groupe abélien, C. R. Acad. Sci. Paris Sér. A-B 279 (1974), A141-A143.
- 10.
- J. G. Dhombres, Linear interpolation and linear extension of functions, Proc. Internat. Conf. Functional Analysis (Madras, 1973), Lecture Notes in Math., vol. 399, Springer-Verlag, Berlin and New York, 1974. MR 394212
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13828-6
PII:
S 0002-9904(1975)13828-6
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