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Symmetric strong diameter two property in tensor products of Banach spaces

Functional Analysis 2020-03-24 v1

Abstract

We continue the investigation of the behaviour 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.

Keywords

Cite

@article{arxiv.2003.09686,
  title  = {Symmetric strong diameter two property in tensor products of Banach spaces},
  author = {Johann Langemets},
  journal= {arXiv preprint arXiv:2003.09686},
  year   = {2020}
}

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6 pages