This is a preview of subscription content, log in via an institution to check access.
References
O. ElMennaoui andK.-J. Engel, On the characterization of eventually norm continuous semigroups in Hilbert spaces. Arch. Math.63, 437–440 (1994).
O.ElMennaoui and K.-J.Engel, Towards a characterization of eventually norm continuous semigroups on Banach spaces. Preprint.
N.Dunford and J. T.Schwarz, Linear operators. Part I, New York 1958.
E.Hille and R. S.Phillips, Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ.31, Revised 1981.
R.Nagel (ed.), One-parameter Semigroups of Positive Operators. LNM1184, Berlin-Heidelberg-New York 1986.
A. M.Sinclair, Continuous Semigroups in Banach algebras. London Math. Soc. Lecture Note Ser.63, Cambridge 1982.
A.Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci.44, New York 1983.
Y. Puhong, Characteristic conditions for ac 0-semigroup with continuity in the uniform topology fort>0 in Hilbert space. Proc. Amer. Math. Soc.116, 991–997 (1992).
Author information
Authors and Affiliations
Additional information
The authors have been partially supported by the Spanish DGICYT, Proyecto PB92-0699 and PB91-0331 respectively.
Rights and permissions
About this article
Cite this article
Blasco, O., Martínez, J. Norm continuity and related notions for semigroups on Banach spaces. Arch. Math 66, 470–478 (1996). https://doi.org/10.1007/BF01268866
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01268866