Absolute Continuity and the Uniqueness of the Constructive Functional Calculus | Zendy

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Absolute Continuity and the Uniqueness of the Constructive Functional Calculus

Author(s) -

Bridges Douglas,

Ishihara Hajime

Publication year - 1994

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.19940400408

Subject(s) - mathematics , constructive , orthonormal basis , constructive proof , uniqueness , absolute continuity , hilbert space , calculus (dental) , pure mathematics , separable space , algebra over a field , discrete mathematics , mathematical analysis , computer science , medicine , physics , dentistry , process (computing) , quantum mechanics , operating system

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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