The character spaces and Šilov boundaries of vector-valued Lipschitz function algebras

K. Esmaeili () and H. Mahyar ()
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K. Esmaeili: Kharazmi (Tarbiat Moallem) University
H. Mahyar: Kharazmi (Tarbiat Moallem) University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 6, 977-988

Abstract: Abstract In this paper, we determine the character spaces and the Šilov boundaries of A-valued Lipschitz algebras Lip α (X, A) and lip α (X, A) when X is a compact metric space, α ∈ (0, 1] and A is a commutative Banach algebta. We then consider the closed subalgebra Lip P (K, A, α) of Lip α (K, A) which is generated by A-valued polynomials on a compact plane set K, and investigate the character space and the Šilov boundary of this subalgebra.

Keywords: Vector-valued Lipschitz functions; character space; Šilov boundary; polynomial algebra (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0099-y

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