Affine invariant subspaces of c(c)

Yaki Sternfeld, Yitzhak Weit

Research output: Contribution to journalArticlepeer-review


A linear subspace A of C(C) is affine invariant if f(z) ∈ A implies that f(az + b) ∈ A for every a, b ∈ C. We present a classification of the affine invariant closed subspaces of C(C), and of those affine invariant subspaces which are also composition invariant (i.e., f, g ∈ A implies that f o g ∈ A).

Original languageEnglish
Pages (from-to)231-236
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - Sep 1989

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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