## Categorical aspects of polar decomposition (2010)

by
Chris Heunen

### BibTeX

@MISC{Heunen10categoricalaspects,

author = {Chris Heunen},

title = {Categorical aspects of polar decomposition},

year = {2010}

}

### OpenURL

### Abstract

Polar decomposition unquestionably provides a notion of factorization in the category of Hilbert spaces. But it does not fit existing categorical notions, mainly because its factors are not closed under composition. We observe that the factors are images of functors. This leads us to consider notions of factorization that emphasize reconstruction of the composite