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math.FA2025
Inner products on the Hilbert space of Hilbert--Schmidt operators
Josué I. Rios-Cangas
This work presents a rigorous characterization of inner products on the Hilbert space of Hilbert--Schmidt operators. We first deal with a general setting of continuous sesqui…
math.FA2018
Canonical decomposition of dissipative linear relations
Josué I. Rios-Cangas
On the basis of Sz. Nagy-Foiaş-Langer and von Neumann-Wold decompositions, two decompositions for dissipative linear relations are given and they are realized by transforming invar…