Talk:Bilinear operator

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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: B:FⁿxFⁿ − > F defined by v^TBw,

[edit] map vs operator

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)