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What is the tensor product of $L^p(\bf R)$ with $L^q(\bf R)$?
@Martin: Although I'm obviously not an expert on these thinks, I'm well aware of the variety of possible norms on the tensor product. Part of my question is: Which one is the good definition in this setting? There should be a good notion in this case. In the $L^2$-case, we certainly want the Hilbert space notion of the tensor product, since this one gives a nice answer, and I expect that there is some setting which handles the $L^p \otimes L^q$-case quite well. @Yemon: Thanks. I'll take a look at this book. |
Feb
6 |
asked | What is the tensor product of $L^p(\bf R)$ with $L^q(\bf R)$? |