Notes on Operator Categories

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Shigeru Yamagami This is my paper · ORCID

classification math.OAmath.CT

keywords bicategorycategoriesbimodulesequivalentfunctorsmonoidallynormalnotes

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The bicategory of normal functors between W*-categories is monoidally equivalent to the bicategory of W*-bimodules.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Orthonormal bases for higher Hilbert spaces
math.QA 2026-08 conditional novelty 6.0 of 10

For finite-dimensional 3-Hilbert spaces, orthonormal bases exist uniquely up to contractible choice, and the Yoneda embedding into the presheaf 3-Hilbert space is an isometric equivalence.
The many faces of higher Hilbert spaces
math.QA 2026-06 unverdicted novelty 4.0 of 10

Introduces G-Hermitian 2-vector spaces via fixed points of an O(2)-action on 2Vect and criteria for positive pairings to generalize the Hermitian-to-Hilbert passage, with an outline for inductive higher-dimensional versions.