Generation of abstract-parameter semigroups
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- by V. A. Babalola PDF
- Proc. Amer. Math. Soc. 48 (1975), 173-178 Request permission
Abstract:
This paper generalizes the Hille-Yosida-Phillips theorem for abstract-parameter semigroups.References
- V. A. Babalola, Semigroups of operators on locally convex spaces, Trans. Amer. Math. Soc. 199 (1974), 163–179. MR 383142, DOI 10.1090/S0002-9947-1974-0383142-8
- J. Chabrowski and G. Łubczonok, Sur les semi-groupes à $n$ paramètres des opérateurs linéaires, Studia Math. 33 (1969), 13–18 (French). MR 246158, DOI 10.4064/sm-33-1-13-18
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- O. A. Ivanova, Certain theorems on an $n$-parametric semigroup of bounded linear operators and their application in the theory of functions, Teor. Funkciĭ Funkcional. Anal. i Priložen. Vyp. 2 (1966), 35–41 (Russian). MR 0199727
- R. P. Langlands, On Lie semi-groups, Canadian J. Math. 12 (1960), 686–693. MR 121667, DOI 10.4153/CJM-1960-061-0
- R. P. Langlands, Some holomorphic semi-groups, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 361–363. MR 177303, DOI 10.1073/pnas.46.3.361
- Isao Miyadera, Semi-groups of operators in Fréchet space amd applications to partial differential equations, Tohoku Math. J. (2) 11 (1959), 162–183. MR 108731, DOI 10.2748/tmj/1178244580
- Cassius Ionescu Tulcea, Suboperative functions and semi-groups of operators, Ark. Mat. 4 (1960), 55–61 (1960). MR 146674, DOI 10.1007/BF02591322
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 173-178
- MSC: Primary 47D05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0636368-6
- MathSciNet review: 0636368