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Absolute Continuity and the Uniqueness of the Constructive Functional Calculus

✍ Scribed by Douglas Bridges; Hajime Ishihara

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
470 KB
Volume
40
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The constructive functional calculus for a sequence of commuting selfadjoint operators on a separable Hilbert space is shown to be independent of the orthonormal basis used in its construction. The proof requires a constructive criterion for the absolute continuity of two positive measures in terms of test functions.

Mathematics Subject Classification: 03F60, 46S30, 47S30.

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