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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 12, Pages 827-831
doi:10.1155/S0161171200003148

Spatial numerical ranges of elements of subalgebras of C0(X)

Sin-Ei Takahasi

Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, Japan

Abstract

When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.