Abstract
Let U and W be Banach spaces. The complete tensor product with greatest cross norm U \( \hat{ \otimes } \) W is the space obtained as follows. The usual tensor product U ⊗ W is given the norm
, and U \( \hat{\otimes } \) W is the completion of U ⊗ W with respect to that norm.
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© 1979 Springer-Verlag New York Inc.
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Graham, C.C., McGehee, O.C. (1979). Tensor Algebras and Harmonic Analysis. In: Essays in Commutative Harmonic Analysis. Grundlehren der mathematischen Wissenschaften, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9976-9_11
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DOI: https://doi.org/10.1007/978-1-4612-9976-9_11
Publisher Name: Springer, New York, NY
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