equibounded
adjEtymology From equi- + bounded.
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Mathematics, Sciences 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.
- The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277:
- 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.2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8:
- Derived terms
- equiboundedness