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Generation of abstract-parameter semigroups


Author: V. A. Babalola
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
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Abstract: This paper generalizes the Hille-Yosida-Phillips theorem for abstract-parameter semigroups.


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

  • [1] V. A. Babalola, Semigroups of operators on locally convex spaces, Trans. Amer. Math. Soc. 199 (1974), 163-179. MR 0383142 (52:4023)
  • [2] J. Chabrowski and G. Łubczonok, Sur les semi-groupes à $ n$ paramètres des opérateurs linéaires, Studia Math. 33 (1969), 13-18. MR 39 #7463. MR 0246158 (39:7463)
  • [3] E. Hille and R. S. Phillips, Functional analysis and semi-groups, rev. ed., Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 19, 664. MR 0089373 (19:664d)
  • [4] O. A. Ivanova, Certain theorems on an $ n$-parametric semigroup of bounded linear operators and their application in the theory of functions, Teor. Funkcii Funkcional. Anal. i Priložen. Vyp. 2 (1966), 35-41. (Russian) MR 33 #7870. MR 0199727 (33:7870)
  • [5] R. P. Langlands, On Lie semi-groups, Canad. J. Math. 12 (1960), 686-693. MR 22 #12401. MR 0121667 (22:12401)
  • [6] -, Some holomorphic semi-groups, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 361-363. MR 31 #1566. MR 0177303 (31:1566)
  • [7] I. Miyadera, Semi-groups of operators in Fréchet space and applications to partial differential equations, Tôhoku Math. J. (2) 11 (1959), 162-183. MR 21 #7445. MR 0108731 (21:7445)
  • [8] C. I. Tulcea, Suboperative functions and semi-groups of operators, Ark. Mat. 4(1960), 55-61. MR 26 #4194. MR 0146674 (26:4194)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0636368-6
Keywords: Abstract-parameter semigroup generation, (infinitesimal) generators, (partially) $ {C_0}$ semigroups, resolvents
Article copyright: © Copyright 1975 American Mathematical Society

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