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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 16th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexThere's a paper out characterising the category of continuous linear functions between Hilbert spaces * Chris Heunen, Andre Kornell, _Axioms for the category of Hilbert spaces_ ([arXiv:2109.07418](https://arxiv.org/abs/2109.07418)) But [[Hilb]] concerns short linear maps between Hilbert spaces. Should we have a page for the former category?

   There’s a paper out characterising the category of continuous linear functions between Hilbert spaces

   • Chris Heunen, Andre Kornell, Axioms for the category of Hilbert spaces (arXiv:2109.07418)

   But Hilb concerns short linear maps between Hilbert spaces. Should we have a page for the former category?

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 16th 2021
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   Author: Urs
   Format: MarkdownItexIt seems clear that an entry titled "Hilb" must mention that there is more than one choice for the morphisms. Which I take as occasion to mention, again, that the author(s) of the related page *[[tensor product of Banach spaces]]* are still kindly requested to react to [this recent criticism](https://nforum.ncatlab.org/discussion/8560/tensor-product-of-banach-spaces/?Focus=94502#Comment_94502), grumpy as it may be.

   It seems clear that an entry titled “Hilb” must mention that there is more than one choice for the morphisms.

   Which I take as occasion to mention, again, that the author(s) of the related page tensor product of Banach spaces are still kindly requested to react to this recent criticism, grumpy as it may be.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 16th 2021
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   Author: Urs
   Format: MarkdownItexI have adjusted the wording, added pointer to some "related entries" and added pointer to * [[Chris Heunen]], Andre Kornell, *Axioms for the category of Hilbert spaces* ([arXiv:2109.07418](https://arxiv.org/abs/2109.07418)) <a href="https://ncatlab.org/nlab/revision/diff/Hilb/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hilb/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Hilb">current</a>

   I have adjusted the wording, added pointer to some “related entries” and added pointer to

   • Chris Heunen, Andre Kornell, Axioms for the category of Hilbert spaces (arXiv:2109.07418)

   diff, v5, current