References
Altomare, F.: Frontières abstraites et convergence de familles filtrées de formes linéaires sur les algèbres de Banach commutatives. Séminaire Initiation à l'Analyse G. Choquet et al., no 6, 21e année 1981/82
Altomare, F.: On the Korovkin approximation theory in commutative Banach algebras. Rend. Mat. Appl. Ser. VII.2, 755–767 (1982)
Altomare, F.: On the universal convergence sets. Ann. Mat.88, 223–243 (1984)
Beckenstein, E., Narici, L., Suffel, C.: Topological algebras. Math. Studies 24. Amsterdam: North-Holland 1977
Berens, H., Lorentz, G.G.: Theorems of Korovkin type for positive linear operators on Banach lattices. In: Approximation theory. Proc. Int. Symp. Texas 1973, ed. G.G. Lorentz, New York: Academic Press 1973
Berens, H., Lorentz, G.G.: Geometric theory of Korovkin sets. J. Approximation Theory15, 161–189 (1975)
Bonsall, F.F., Duncan, J.: Numerical ranges of operators on normed spaces and of elements of normed algebras. Cambridge: Cambridge University Press 1971
Choquet, G.: Lectures on analysis Vol. II. Mathematics Lecture Note Series (25). New York: Benjamin 1969
Marti, J.T.: Konvexe Analysis. Mathematische Reihe 54. Basel: Birkhäuser 1977
Niestegge, G.: Extreme spectral states of commutative Banach algebras. Math. Ann.264, 179–188 (1983)
Pannenberg, M.: Korovkin-Approximation in Waelbroeck-Algebren. Schriftenr. Math. Inst. Univ. Münster. 2. Ser.37 (1985)
Phelps, R.R.: Lectures on Choquets theorem. Van Nostrand Math. Studies 7. Princeton, NJ: Van Nostrand 1965
Roitman, M., Sternfeld, Y.: When is a linear functional multiplicative? Trans. Am. Math. Soc.267, 111–124 (1981)
Waelbroeck, L.: Topological vector spaces and algebras. Lect. Notes Math. 230. Berlin, Heidelberg, New York: Springer 1971
Wolff, M.: Über Korovkinsätze in lokalkonvexen Vektorverbänden. Math. Ann.204, 49–56 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pannenberg, M. Korovkin approximation in Waelbroeck algebras. Math. Ann. 274, 423–437 (1986). https://doi.org/10.1007/BF01457226
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01457226