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Jul 31, 2019 at 13:30 comment added LSpice Definitely using 'endomorphic' for the adjective form of 'endomorphism' will confuse people who work with automorphic forms.
Jul 31, 2019 at 10:53 history edited Dominique Unruh CC BY-SA 4.0
Summarized terminology options
Jul 31, 2019 at 10:36 comment added Dominique Unruh @SamHopkins Convention differs between texts, unfortunately. I think, when the author is interested in studying operator algebras, then they will often assume that domain and range are the same (otherwise the set of operators will not form an algebra anyway). I added a note in the question.
Jul 31, 2019 at 10:35 history edited Dominique Unruh CC BY-SA 4.0
Commented on terminology conventions
Jul 28, 2019 at 13:47 comment added Sam Hopkins See also: en.m.wikipedia.org/wiki/Linear_map
Jul 28, 2019 at 13:47 comment added Sam Hopkins Wikipedia is a little unclear on this point: en.m.wikipedia.org/wiki/Operator_(mathematics)
Jul 28, 2019 at 13:43 comment added Sam Hopkins I thought “operator” and “self-map” were basically synonyms. In other words, a linear map is a map between two vector spaces, while a linear operator is a map from a vector space to itself.
Jul 28, 2019 at 13:38 answer added Pietro Majer timeline score: 2
Jul 28, 2019 at 12:39 history edited Francois Ziegler
edited tags
Jul 28, 2019 at 12:31 answer added Francois Ziegler timeline score: 4
Jul 28, 2019 at 12:13 comment added M.G. It was more of a joke since the immediate adjective from endomorphism would be endomorphic, but I don't think I've ever heard it being used like this (in mathematics anyway). To be honest, I doubt there is a widely used adjective for this, people just say "endomorphism of this or that". But on the other hand, if I ever see it used, then I'll most likely conclude that the author means an endomorphism.
Jul 28, 2019 at 11:35 comment added Dominique Unruh @M.G. I find very few mentions of "endomorphic operator" in Google. But if you can post your comment as an answer, people can comment more easily and we can get a feeling for the community opinion.
Jul 28, 2019 at 10:45 comment added M.G. Endomorphic? :-)
Jul 28, 2019 at 10:37 history asked Dominique Unruh CC BY-SA 4.0