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Moyennes de fonctions et opérateurs multiplicativement liés. (French) Zbl 0252.47031

MSC:
47C05 Linear operators in algebras
39B52 Functional equations for functions with more general domains and/or ranges
47A65 Structure theory of linear operators
46E25 Rings and algebras of continuous, differentiable or analytic functions
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References:
[1] BONSALL (F.F.) , LINDENSTRAUSS (J.) , PHELPS (R.R.) . Extreme positive operators in algebras of functions . Math. Scand. 18 ( 1966 ), p. 161-182. MR 35 #759 | Zbl 0149.34002 · Zbl 0149.34002 · eudml:165950
[2] DHOMBRES (J.) . - Sur les opérateurs multiplicativement liés . Mémoires de la Société Mathématique de France N^\circ 27 ( 1971 ) - Thèse-170 pages. Numdam | MR 58 #30450 | Zbl 0238.47025 · Zbl 0238.47025 · numdam:MSMF_1971__27__3_0 · eudml:94592
[3] DHOMBRES (J.) . - Répartition asymptotique des fonctions et familles de mesures associées (à; paraître) . (Cf. Comptes Rendus Acad. Sci. Paris, t. 272 ( 1971 ) p. 956-959). MR 45 #3676 | Zbl 0214.13602 · Zbl 0214.13602
[4] DHOMBRES (J.G.) . - A survey of linear operators satisfying a functional equation on a topological algebra . (To appear).
[5] PEŁCZYNSKI (A.) . - Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions . Diss. Math. 58 ( 1968 ). MR 37 #3335 | Zbl 0165.14603 · Zbl 0165.14603
[6] TOMIYAMA (J.) . - On the projection of norm one in W\?-algebra . Proc. Jap. Acad. 33 ( 1957 ), p. 608-612. MR 20 #2635 | Zbl 0081.11201 · Zbl 0081.11201 · doi:10.3792/pja/1195524885
[7] WULBERT (D.E.) . - Averaging projections . Ill. Journal of Math. Vol. 13, N^\circ 4, ( 1969 ), p. 689-693. MR 41 #833 | Zbl 0179.18201 · Zbl 0179.18201
[8] DHOMBRES (J.G.) . - Some functional equations on semi-groups arising from the theory of means . (To appear in Nanta Mathematica, 1972 ). MR 49 #5625 | Zbl 0291.20083 · Zbl 0291.20083
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