In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space X. It is a closed subalgebra of C(X), the uniform algebra of bounded continuous functions on X, whose real parts are dense in the algebra of bounded continuous real functions on X. The concept was introduced by Andrew Gleason.
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| - Àlgebra de Dirichlet (ca)
- Dirichlet algebra (en)
- ディリクレ環 (ja)
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| - En matemàtiques, una àlgebra de Dirichlet és un tipus particular d' associada a un espai compacte de Hausdorff X. És una subàlgebra tancada de C(X), l' de funcions contínues acotades en X, les parts reals de les quals són denses en l'àlgebra de funcions reals contínues acotades en X. El concepte va ser introduït per el 1957. (ca)
- In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space X. It is a closed subalgebra of C(X), the uniform algebra of bounded continuous functions on X, whose real parts are dense in the algebra of bounded continuous real functions on X. The concept was introduced by Andrew Gleason. (en)
- 数学におけるディリクレ環(ディリクレかん、英: Dirichlet algebra)とは、あるコンパクトハウスドルフ空間 X に関連する特定のタイプの環のことを言う。ディリクレ環は X 上の有界連続関数の一様環 C(X) の閉部分環であり、その実部は X 上の有界連続「実」関数の環において稠密である。この概念は Andrew Gleason によって導入された。 (ja)
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| - En matemàtiques, una àlgebra de Dirichlet és un tipus particular d' associada a un espai compacte de Hausdorff X. És una subàlgebra tancada de C(X), l' de funcions contínues acotades en X, les parts reals de les quals són denses en l'àlgebra de funcions reals contínues acotades en X. El concepte va ser introduït per el 1957. (ca)
- In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space X. It is a closed subalgebra of C(X), the uniform algebra of bounded continuous functions on X, whose real parts are dense in the algebra of bounded continuous real functions on X. The concept was introduced by Andrew Gleason. (en)
- 数学におけるディリクレ環(ディリクレかん、英: Dirichlet algebra)とは、あるコンパクトハウスドルフ空間 X に関連する特定のタイプの環のことを言う。ディリクレ環は X 上の有界連続関数の一様環 C(X) の閉部分環であり、その実部は X 上の有界連続「実」関数の環において稠密である。この概念は Andrew Gleason によって導入された。 (ja)
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