<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

Online veröffentlicht: 13. Sept. 2017

Seitenbereich: 165 - 171

Eingereicht: 16. Feb. 2016

Akzeptiert: 27. Mai 2016

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

Schlüsselwörter
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

Online veröffentlicht: 13. Sept. 2017

Seitenbereich: 165 - 171

Eingereicht: 16. Feb. 2016

Akzeptiert: 27. Mai 2016

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

SchlüsselwörterHilbert space, linear operator, polar decomposition

© 2017

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

Schlüsselwörter
Hilbert space, linear operator, polar decomposition