Talk:Bilinear map
![]() | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
Untitled
[edit]Whoever put this in:
"In other words, if we hold the first entry the bilinear operator fixed, while letting the second entry vary, the result is a linear operator, and similarly if we hold the second entry fixed."
thankyou!
How about another example for a matrix as a bi-linear form: defined by ,
map vs operator
[edit]I think the term "operator" should be reserved for maps of a space into itself (or by extension ExE→E), while for the general case (in particular bilin.forms) the term "map" should be preferred. — MFH: Talk 17:46, 27 May 2005 (UTC)
- Agree. At any rate, we should keep our naming consistent; witness multilinear map vs. bilinear operator. -- Fropuff 18:03, 2005 May 27 (UTC)
- Seems reasonable. I was wondering about the same topic some time ago. This should be put at Wikipedia:WikiProject Mathematics/Conventions.MathMartin 11:03, 29 May 2005 (UTC)
- I've partially fixed this, but haven't gone so far as to move the page: I would, however, support such a move. Geometry guy 16:35, 13 May 2007 (UTC)
- Yes, I agree. Someone with operator privs should perform the move. --MarSch 17:47, 13 May 2007 (UTC)
How is this article related to pairing? It seems there is an overlap. Nageh (talk) 16:22, 26 May 2010 (UTC)
- I think the question should be: Shouldn't this article be extended to cover [[module (mathematics}|module]]s? Meaning, we get R-bilinear maps, which should probably be covered in this article, and then pairing (which is evidently just an R-bilinear map) should be a redirect here. K-bilinear maps (K being a field, so this is what is currently covered by this article) are merely special cases of R-bilinear maps, which is the subject of Pairing. — Quondum 16:31, 9 September 2012 (UTC)
Inverse of bilinear map
[edit]For the case, VxV->F, I guess the inverse of the bilinear map should be well defined because the map is commutative, if , then and . Is this right? and is it meaningful? is it well defined? Jackzhp (talk) 05:54, 8 May 2015 (UTC)
- The appropriate place to ask this would be at WP:RD/MA. —Quondum 13:02, 8 May 2015 (UTC)
Diagram Needed
[edit]![]() | It is requested that a diagram or diagrams be included in this article to improve its quality. Specific illustrations, plots or diagrams can be requested at the Graphic Lab. Please replace this template with a more specific media request template where possible. For more information, refer to discussion on this page and/or the listing at Wikipedia:Requested images. |
It would be much easier to understand this article if there were diagrams that showed the process. The information provided is merely textual and gives the reader a difficult time understanding the underlying principles. Senomo Drines (talk) 15:04, 31 October 2022 (UTC)
Start a discussion about improving the Bilinear map page
Talk pages are where people discuss how to make content on Wikipedia the best that it can be. You can use this page to start a discussion with others about how to improve the "Bilinear map" page.