stable subspace

A subset S of a larger set T is said to a stable subset for a function f:TT iff f(S)S.
Alternative phrasings with the same meaning are:

  • f is an invariant subset for f

  • f stabilizes S

  • S is stable under (the action of) f

  • S is invariant under (the action of) f

  • S is left stable by/under f

  • S is left invariant by/under f

Title stable subspace
Canonical name StableSubspace
Date of creation 2013-03-22 17:56:52
Last modified on 2013-03-22 17:56:52
Owner lalberti (18937)
Last modified by lalberti (18937)
Numerical id 6
Author lalberti (18937)
Entry type Definition
Classification msc 00A05
Synonym invariant subspace
Synonym stable subset
Synonym invariant subset