Affine invariant subspaces of $C(\textbf {C})$
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- by Yaki Sternfeld and Yitzhak Weit PDF
- Proc. Amer. Math. Soc. 107 (1989), 231-236 Request permission
Abstract:
A linear subspace $A$ of $C({\mathbf {C}})$ is affine invariant if $f(z) \in A$ implies that $f(az + b) \in A$ for every $a,b \in {\mathbf {C}}$. We present a classification of the affine invariant closed subspaces of $C({\mathbf {C}})$, and of those affine invariant subspaces which are also composition invariant (i.e., $f,g \in A$ implies that $f \circ g \in A)$).References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 231-236
- MSC: Primary 46E10
- DOI: https://doi.org/10.1090/S0002-9939-1989-0979053-3
- MathSciNet review: 979053