Timeline for What is the tensor product of $L^p(\bf R)$ with $L^q(\bf R)$?
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Feb 19, 2010 at 15:34 | history | edited | Mark Meckes | CC BY-SA 2.5 |
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Feb 7, 2010 at 0:26 | comment | added | Mark Meckes | @Yemon: Yes, I think that's true. This is also a special case of what Johannes suggested. As far as I can tell the poster wants something that turns out to be simple and specializes to what was described for p=2; my answer is just meant to suggest one such possibility which is also not obviously ad hoc. | |
Feb 6, 2010 at 21:44 | comment | added | Yemon Choi | I think this is one of the Chevet-Saphar norms (cf. comment above). It still isn;t clear to me what the original poster thinks a "sensible answer" should be; the question seems to assume that there is one which is clearly most natural. (From the category-theoretic point of view, the Grothendieck projective tensor product is the only "natural" one; but all the others can be useful and relevant to different problems at hand.) | |
Feb 6, 2010 at 21:23 | history | answered | Mark Meckes | CC BY-SA 2.5 |