Word.ws English Dictionary

quasireflexive

quasireflexive adjective: of a relation ~ on a set S: such that every element that is related to some element is also related to itself, i.e. ∀x,y∈S: x~y ⇒ x~x ∧ y~y.

Adjective

quasireflexive (not comparable)

  1. Of a relation ~ on a set S: such that every element that is related to some element is also related to itself, i.e. ∀x,y∈S: x~y ⇒ x~x ∧ y~y.
  2. Of a Banach space X: such that the quotient X ′′ / J(X) has finite dimension d. (It is then said to be "quasireflexive of order d".)

Origin of quasireflexive

From quasi- + reflexive.

Questions about quasireflexive

What does quasireflexive mean?
Quasireflexive means of a relation ~ on a set S: such that every element that is related to some element is also related to itself, i.e. ∀x,y∈S: x~y ⇒ x~x ∧ y~y.
What part of speech is quasireflexive?
Quasireflexive is an adjective.

Words near quasireflexive in the dictionary

  1. quasirandomized
  2. quasirandomly
  3. quasirandomness
  4. quasirape
  5. quasirapes
  6. quasireflexive
  7. quasiregular
  8. quasiregular polyhedra
  9. quasiregular polyhedron
  10. quasiregularity
  11. quasiregularly

Source and license

Adapted from Wiktionary: quasireflexive (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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Cite this entry: “quasireflexive.” Word.ws, https://word.ws/quasireflexive. Based on Wiktionary, CC BY-SA 4.0.