Re: Tensor products of some Banach spaces

tommi.hoynalanmaa@xxxxxx wrote:

If we have two normed linear spaces E and F is there some standard way
to define norm on tensor product E X F (tensor product of two vector
spaces) so that E X F becomes a normed linear space?


There are lots of ways. You can, for instance, define

   ||(v,w)|| = ||v|| + ||w||

or

   ||(v,w)|| = max{||v||,||w||}.

Best regards,

Jose Carlos Santos
.

Relevant Pages

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