The spectral theorem for locally normal operators

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The_spectral_theorem_for_locally_normal_operators.pdf (496.62 KB)

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2018

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Abstract

We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the concept of a locally spectral measure.

Source Title

Opuscula Mathematica

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AGH University of Science and Technology

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Local projection, Locally C∗-algebra, Locally Hilbert space, Locally normal operator, Locally spectral measure

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http://hdl.handle.net/11693/50462

Published Version (Please cite this version)

https://doi.org/10.7494/OpMath.2018.38.5.597

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Scholarly Publications - Mathematics

Language

English

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Article