Meaning of equibounded | Babel Free

Definitions

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.

not-comparable

Examples

“The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.”

“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.”

CEFR level