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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.

MSC:

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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