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We study Borel measurability of the spectrum in topological algebras. We give some equivalences of the various properties, show that the spectrum in a Banach algebra is continuous on a dense Gs, and prove that in a Polish algebra the set of invertible elements is an FaS and the inverse mapping is a Borel function of the second class. This article has its origin in the papers [7] and [5]. We stu...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1986
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1986-0854024-3