A simple proof of the Polar Decomposition Theorem

Paweł Wójcik

Published: 2016-08-06

Vol. 31 (2017)

A simple proof of the Polar Decomposition Theorem

Paweł Wójcik

Abstract

In this expository paper, we present a new and easier proof of the Polar Decomposition Theorem. Unlike in classical proofs, we do not use the square root of a positive matrix. The presented proof is accessible to a broad audience.

Keywords:

Hilbert space , linear operator , polar decomposition

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Wójcik, P. (2016). A simple proof of the Polar Decomposition Theorem. Annales Mathematicae Silesianae, 31, 165–171. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13948

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Vol. 31 (2017)
Published: 2017-09-13

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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