Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

A functional characterization of Markovian linear exaves


Author: J. G. Dhombres
Journal: Bull. Amer. Math. Soc. 81 (1975), 703-706
MSC (1970): Primary 46E25, 47A65; Secondary 39A40
MathSciNet review: 0377580
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Erik M. Alfsen, Compact convex sets and boundary integrals, Springer-Verlag, New York-Heidelberg, 1971. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 57. MR 0445271
  • 2. A. Pełczyński, Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions, Dissertationes Math. Rozprawy Mat. 58 (1968), 92. MR 0227751
  • 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_{∞}(𝑋), Illinois J. Math. 2 (1958), 214–223. MR 0103409
  • 5. Jean G. Dhombres, Sur les opérateurs multiplicativement liés, Société Mathématique de France, Paris, 1971 (French). Thèse Sci. Math., Paris, 1970; Bull. Soc. Math. France Mém., No. 27; Supplément au Bull. Soc. Math. France, Tome 99, no. 3. MR 0636337
  • 6. Daniel E. Wulbert, Averaging projections, Illinois J. Math. 13 (1969), 689–693. MR 0256176
  • 7. J. G. Dhombres, Functional equations, averaging operators, interpolation operators, and linear extension operators, Nanta Math. 9 (1976), no. 2, 109–116 (Chinese, with French summary). MR 0467062
  • 8. Robert R. Phelps, Lectures on Choquet’s theorem, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0193470
  • 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, Functional analysis and its applications (Internat. Conf., Eleventh Anniversary of Matscience, Madras, 1973; dedicated to Alladi Ramakrishnan), Springer, Berlin, 1974, pp. 75–83. Lecture Notes in Math., Vol. 399. MR 0394212

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 46E25, 47A65, 39A40

Retrieve articles in all journals with MSC (1970): 46E25, 47A65, 39A40


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1975-13828-6