equibounded
English
[edit]Etymology
[edit]Adjective
[edit]equibounded (not comparable)
- (mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X.
- 1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277:
- The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.
- 2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8:
- An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.