Word.ws English Dictionary

equibounded

equibounded adjective: 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.

Adjective

equibounded (not comparable)

  1. 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

Origin of equibounded

From equi- + bounded.

Words formed from equibounded

Questions about equibounded

What does equibounded mean?
Equibounded means 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.
What part of speech is equibounded?
Equibounded is an adjective.

Words near equibounded in the dictionary

  1. equibalancing
  2. equibiased
  3. equibiaxial
  4. equibiaxially
  5. equibipartite
  6. equibounded
  7. equiboundedness
  8. equicaloric
  9. equicalorically
  10. equicellular
  11. equicharacteristic

Source and license

Adapted from Wiktionary: equibounded (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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