<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

Data publikacji: 13 wrz 2017

Zakres stron: 165 - 171

Otrzymano: 16 lut 2016

Przyjęty: 27 maj 2016

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

Słowa kluczowe
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

Data publikacji: 13 wrz 2017

Zakres stron: 165 - 171

Otrzymano: 16 lut 2016

Przyjęty: 27 maj 2016

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

Słowa kluczoweHilbert space, linear operator, polar decomposition

© 2017

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

Słowa kluczowe
Hilbert space, linear operator, polar decomposition