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- W1635663640 abstract "Let $M$ be a commutative homogeneous space of a compact Lie group $G$ and $A$ be a closed $G$-invariant subalgebra of the Banach algebra $C(M)$. A function algebra is called antisymmetric if it does not contain nonconstant real functions. By the main result of this paper, $A$ is antisymmetric if and only if the invariant probability measure on $M$ is multiplicative on $A$. This implies, for example, the following theorem: if $G^{mathbb C}$ acts transitively on a Stein manifold $cal M$, $vin{cal M}$, and the compact orbit $M=Gv$ is a commutative homogeneous space, then $M$ is a real form of $cal M$." @default.
- W1635663640 created "2016-06-24" @default.
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- W1635663640 date "2009-07-16" @default.
- W1635663640 modified "2023-09-27" @default.
- W1635663640 title "Invariant function algebras on compact commutative homogeneous spaces" @default.
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