A Simple Proof of the Polar Decomposition Theorem
Paweł Wójcik
Annales Mathematicae Silesianae, Tome 31 (2017), p. 165-171 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288546 
@article{bwmeta1.element.doi-10_1515_amsil-2016-0013,
     author = {Pawe\l\ W\'ojcik},
     title = {A Simple Proof of the Polar Decomposition Theorem},
     journal = {Annales Mathematicae Silesianae},
     volume = {31},
     year = {2017},
     pages = {165-171},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0013}
}

Paweł Wójcik. A Simple Proof of the Polar Decomposition Theorem. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 165-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0013/