References
Berg, C., Christensen, J.P.R., Ressel, P. “Harmonic Analysis on Semigroups”, Springer-Verlag, New York-Berlin-Heidelberg, 1984.
Blumenthal, R.M., Getoor, R.K. “Markov Processes and Potential Theory”, Academic Press, New York, 1968.
Cohn, D.L. “Measure Theory”, Birkhauser, Boston-Basel-Stuttgart, 1980.
Daley, D.J., Vere-Jones, D. “An Introduction to the Theory of Point Processes”, Springer-Verlag, New York-Berlin-Heidelberg, 1988.
Dawson, D.A.Measure-Valued Markov Processes, Preliminary Notes (preprint), July 1991.
Dynkin, E.B.Superprocesses and their linear additive functionals, Trans. Am. Math. Soc.314 (1989), 255–282.
Fitzsimmons, P.J.Construction and regularity of measure-valued branching processes, Israel J. Math.64 (1988), 337–361.
Hille, E., Phillips, R.S. “Functional Analysis and Semi-Groups”, American Mathematical Society, Colloquium Publications Volume 31, 1957.
Jiřina, M.Stochastic branching processes with continuous state space, Czech. J. Math.8 (1958), 292–313.
Kelley, J.L., Namioka, I. “Linear Topological Spaces,” Van Nostrand, Princeton, New Jersey, 1963.
Pazy, A. “Semigroups of Linear Operators and Applications to Partial Differential Equations,” Springer-Verlag, Berlin-Heidelberg-New York, 1983.
Rao, M. “Brownian Motion and Classical Potential Theory”, Lecture Notes Series No.47, Matematisk Institut, Aarhus Universitet, 1977.
Schaefer, H.H. “Banach Lattices and Positive Operators”, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
Sharpe, M. “General Theory of Markov Processes”, Academic Press, Inc., Boston-San Diego, 1988.
Watanabe, S.A limit theorem of branching processes and continuous state branching processes, J. Math. Kyoto Univ.8 (1968), 141–167.
Author information
Authors and Affiliations
Additional information
Communicated by J. A. Goldstein
Rights and permissions
About this article
Cite this article
Šikić, H. Nonlinear perturbations of positive semigroups. Semigroup Forum 48, 273–302 (1994). https://doi.org/10.1007/BF02573678
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02573678