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math.OA2024
Locally adjointable operators on Hilbert -modules
Denis Fufaev, Evgenij Troitsky
In the theory of Hilbert -modules over a -algebra (in contrast with the theory of Hilbert spaces) not each bounded operator (-homomorphism) admits an adjoint. The…
math.OA2024
A new uniform structure for Hilbert -modules
Denis Fufaev, Evgenij Troitsky
We introduce and study some new uniform structures for Hilbert -modules over an algebra . In particular, we prove that in some cases they have the same totally bounded sets…