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I hesitate to write $ A:X\to Y$ instead of $ A:D\to Y $ when $ D \ne X $ (even though I do not hesitate to say that $A$ is an operator from $X$ to $Y$). Do others write it this way? --Boris Tsirelson (talk) 10:40, 20 December 2012 (CET)

It was in the original article " from $X$ into $Y$ ". On the other hand I agree with you and I think that $ A:D\to Y$, where $D\subset X $ would be more appropriate now Nikita2 (talk) 16:46, 20 December 2012 (CET)
OK, I did so. --Boris Tsirelson (talk) 21:02, 20 December 2012 (CET)
How to Cite This Entry:
Operator. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Operator&oldid=29234