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Symmetric strong diameter two property in tensor products of Banach spaces. (English) Zbl 1461.46007

Summary: We continue the investigation of the behavior of diameter two properties in tensor products of Banach spaces. Our main result shows that the symmetric strong diameter two property is stable by taking projective tensor products. We also prove a result for the symmetric strong diameter two property for the injective tensor product.

MSC:

46B04 Isometric theory of Banach spaces
46B28 Spaces of operators; tensor products; approximation properties
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References:

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