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has been cited by the following article:

• TITLE: Results on Spectral Measures and an Application to a Spectral Theorem

  AUTHORS: Paul Bracken

  KEYWORDS: Projection, Adjoint, Hilbert Space, Spectral Measure, Operator, Spectrum, Idempotent

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.5, May 31, 2025

  ABSTRACT: Properties of Hilbert spaces, projections and spectral measures are introduced and studied. Spectral integrals and the related operator are considered, and their relationship with the spectrum of an operator is given. The theorems that result yield a version of the spectral theorem which is suited to infinite dimensions.