On the structure of spaces of vector-valued Lipschitz functions
نویسندگان
چکیده
منابع مشابه
Isometries on Spaces of Vector Valued Lipschitz Functions
This paper gives a characterization of a class of surjective isometries on spaces of Lipschitz functions with values in a finite dimensional complex Hilbert space.
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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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15 صفحه اولSome Properties of Vector-valued Lipschitz Algebras
Let $(X,d)$ be a metric space and $Jsubseteq (0,infty)$ be a nonempty set. We study the structure of the arbitrary intersection of vector-valued Lipschitz algebras, and define a special Banach subalgebra of $cap{Lip_gamma (X,E):gammain J}$, where $E$ is a Banach algebra, denoted by $ILip_J (X,E)$. Mainly, we investigate $C-$character amenability of $ILip_J (X,E)$.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2017
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm8694-1-2017