References
Ando, T.: Convergent sequences of finitely additive measures. Pacific J. Math.11, 395–404 (1961)
Ando, T.: Invariante Masse positiver Kontraktionen aufC(X). Studia Math.31, 777–788 (1969)
Bourbaki, N.: Topologie Générale, chap. 1 et 2, 4e ed. Paris: Hermann 1965; chap. 9, 2e ed. Paris: Hermann 1958
Davies, E.B.: One-Parameter Semigroups. London-New York: Academic Press 1980
Dean, D.W.: Schauder decompositions in (m). Proc. Amer. Math. Soc.18, 619–623 (1967)
Dunford, N.: Spectral theory I, Convergence to projections. Trans. Amer. Math. Soc.54, 185–217 (1943)
Dunford, N., Schwartz, J.T.: Linear Operators, Part I: General Theory. New York: Wiley 1958
Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC(K). Canad. J. Math.5, 129–173 (1953)
Hille, E., Phillips, R.S.: Functional Analysis and Semi-Groups. Providence, R. I.: Amer. Math. Soc. 1957
Josefson, B.: Weak sequential convergence in the dual of a Banach space does not imply norm convergence. Ark. Mat.13, 79–89 (1975)
Kishimoto, A., Robinson, D.W.: Subordinate semigroups and order properties. J. Austral. Math. Soc. Ser. A31, 59–76 (1981)
Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces. Lecture Notes in Math.338. Berlin-Heidelberg-New York: Springer 1973
Lotz, H.P.: Uniform ergodic theorems for Markov operators onC(X). Math. Z.178, 145–156 (1981)
Lotz, H.P.: Quasi-kompakte positive Kontraktionen aufC(X). Semesterbericht Funktionalanalysis, Tübingen, Wintersemester 1981/82, pp. 139–147
Lotz, H.P.: Tauberian theorems for operators onL ∞ and similar spaces. In: Functional Analysis, Surveys and Recent Results III. K.-D. Bierstedt and B. Fuchssteiner (eds.), 117–133. Amsterdam: Elsevier Science Publishers B.V. (North-Holland) 1984
Nissenzweig, A.:w * sequential convergence. Israel J. Math.22, 266–272 (1975)
Schaefer, H.H.: Topological Vector Spaces. New York-London: Macmillan 1966
Schaefer, H.H.: Banach Lattices and Positive Operators. Berlin-Heidelberg-New York: Springer 1974
Seever, G.L.: Measures onF-spaces. Trans. Amer. Math. Soc.133, 267–280 (1968)
Author information
Authors and Affiliations
Additional information
Meinem verehrten Lehrer Helmut H. Schaefer zum 60. Geburtstag in Dankbarkeit gewidmet
The author is grateful to the Deutsche Forschungsgemeinschaft for support during his stag as Visiting Professor at the Universität Tübingen.
Rights and permissions
About this article
Cite this article
Lotz, H.P. Uniform convergence of operators onL ∞ and similar spaces. Math Z 190, 207–220 (1985). https://doi.org/10.1007/BF01160459
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01160459