on the character space of vector-valued lipschitz algebras

نویسندگان

t. honary

a. nikou

a. h. sanatpour

چکیده

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 identify the character space of the vector-valued polynomial lipschitz algebra $lip_p^{alpha}(x, e)$, generated by the polynomials on the compact space $xsubseteq bbb{c}^{n}$. it is also shown that $lip_p^{alpha}(x, e)$ is the injective tensor product $lip_p^{alpha}(x)widehat{otimes}_epsilon e$. finally, we characterize the form of each character on $lip_{p}^{alpha}(x, e)$.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 6 2014

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