Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-8, author = {Janusz Grabowski and Giuseppe Marmo}, title = {Binary operations in classical and quantum mechanics}, journal = {Banach Center Publications}, volume = {60}, year = {2003}, pages = {163-172}, zbl = {1068.17009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-8} }
Janusz Grabowski; Giuseppe Marmo. Binary operations in classical and quantum mechanics. Banach Center Publications, Tome 60 (2003) pp. 163-172. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-8/