On the projection constants of some topological spaces and some applications. (English) Zbl 1021.46018

The authors prove the well-known estimate \(\|S\otimes T\|\leq\|S\|\|T\|\) for operators between injective or projective tensor products and derive some (known) consequences about projection constants that are stated incorrectly in the case of projective tensor products.


46B28 Spaces of operators; tensor products; approximation properties
46M05 Tensor products in functional analysis
47A80 Tensor products of linear operators
46B20 Geometry and structure of normed linear spaces
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