<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

A Simple Proof of the Polar Decomposition Theorem

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Simple Proof of the Polar Decomposition Theorem"}

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...

A Simple Proof of the Polar Decomposition Theorem

Published Online: Sep 13, 2017

Page range: 165 - 171

Received: Feb 16, 2016

Accepted: May 27, 2016

DOI: https://doi.org/10.1515/amsil-2016-0013

Keywords
Hilbert space, linear operator, polar decomposition

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Simple Proof of the Polar Decomposition Theorem

Published Online: Sep 13, 2017

Page range: 165 - 171

Received: Feb 16, 2016

Accepted: May 27, 2016

DOI: https://doi.org/10.1515/amsil-2016-0013

KeywordsHilbert space, linear operator, polar decomposition

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hilbert space, linear operator, polar decomposition