The Spectral Theorem from Scratch

Gabriel Nagy

doi:10.14321/realanalexch.45.1.0205

Abstract

We provide an elementary approach to the development of the continuous functional calculus both for a single bounded normal operator, as well as for commuting tuples of bounded self-adjoint operators on a Hilbert space.

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Gabriel Nagy. "The Spectral Theorem from Scratch." Real Anal. Exchange 45 (1) 205 - 234, 2020. https://doi.org/10.14321/realanalexch.45.1.0205

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Published: 2020

First available in Project Euclid: 9 May 2020

zbMATH: 07211610

Digital Object Identifier: 10.14321/realanalexch.45.1.0205

Subjects:

Primary: 47B15

Secondary: 26A06

Keywords: functional calculus , normal and self-adjoint operators , spectrum

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