Hostname: page-component-7dd5485656-zklqj Total loading time: 0 Render date: 2025-10-31T13:32:14.632Z Has data issue: false hasContentIssue false
  • English
  • Français

23.—Weak Continuity Properties of Mappings and Semigroups*

Published online by Cambridge University Press:  14 February 2012

J. M. Ball
J. M. Ball
Affiliation:
Heriot-Watt University, Edinburgh.
Get access Rights & Permissions [Opens in a new window]

Synopsis

The relationship between weak and sequential weak continuity for mappings between Banach spaces and semigroups on Banach space is studied.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 4 , 1975 , pp. 275 - 280
Copyright
Copyright © Royal Society of Edinburgh 1975

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

References to Literature

[1] Ball, J. M., 1973. Initial-boundary value problems for an extensible beam. J. Math. Analysis Applic., 42, 61–90.Google Scholar
[2] Ball, J. M., 1973. Stability theory for an extensible beam. J. Diff. Eqns, 14, 399–418.Google Scholar
[3] Ball, J. M., 1973. Saddle-point analysis for an ordinary differential equation in a Banach space and an application to dynamic buckling of a beam. Proc. Symp. Nonlinear Elasticity (Ed. Dickey, R. W.). London: Academic Press.Google Scholar
[4] Ball, J. M., 1974. Continuity properties of nonlinear semigroups. J. Funct. Analysis, 17, 91–103.Google Scholar
[5] Bhatia, N. P. and Szëgo, G. P., 1970. Stability Theory of Dynamical Systems. Berlin: Springer.Google Scholar
[6] Dafermos, C. M., 1974. Semiflows associated with compact and uniform processes. (To appear.)Google Scholar
[7] Dieudonné, J., 1950. Natural homomorphisms on Banach spaces. Proc. Am. Math. Soc., 1, 54–59.Google Scholar
[8] Dundord, N. and Schwartz, J. T., 1958. Linear Operators, Pt. I. New York: Interscience.Google Scholar
[9] Lions, J. L. and Magènes, E., 1968. Problèmes aux limites non homogènes et applications, 1. Paris: Dunod.Google Scholar
[10] Slemrod, M., 1970. Asymptotic behaviour of a class of abstract dynamical systems. J. Diff. Eqns, 7, 584–600.Google Scholar
[11] Wilansky, A., 1970. Topology for Analysis. Waltham: Ginn.Google Scholar