A Simple Proof of the Polar Decomposition Theorem

Paweł Wójcik

Annales Mathematicae Silesianae (2017)

  • Volume: 31, Issue: 1, page 165-171
  • ISSN: 0860-2107

Abstract

top
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.

How to cite

top

Paweł Wójcik. "A Simple Proof of the Polar Decomposition Theorem." Annales Mathematicae Silesianae 31.1 (2017): 165-171. <http://eudml.org/doc/288546>.

@article{PawełWójcik2017,
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.},
author = {Paweł Wójcik},
journal = {Annales Mathematicae Silesianae},
keywords = {Hilbert space; linear operator; polar decomposition},
language = {eng},
number = {1},
pages = {165-171},
title = {A Simple Proof of the Polar Decomposition Theorem},
url = {http://eudml.org/doc/288546},
volume = {31},
year = {2017},
}

TY - JOUR
AU - Paweł Wójcik
TI - A Simple Proof of the Polar Decomposition Theorem
JO - Annales Mathematicae Silesianae
PY - 2017
VL - 31
IS - 1
SP - 165
EP - 171
AB - 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.
LA - eng
KW - Hilbert space; linear operator; polar decomposition
UR - http://eudml.org/doc/288546
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.