Boundedness of admissible area function on nonisotropic Lipschitz space

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On the character space of vector-valued Lipschitz algebras

We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we the...

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on the character space of vector-valued lipschitz algebras

we show that the character space of the vector-valued lipschitz algebra $lip^{alpha}(x, e)$ of order $alpha$ is homeomorphic to the cartesian product $xtimes m_e$ in the product topology, where $x$ is a compact metric space and $e$ is a unital commutative banach algebra. we also characterize the form of each character on $lip^{alpha}(x, e)$. by appealing to the injective tensor product, we then...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2004

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-04-07733-0