9 citations · 39 across the 19 of their papers we have counts for
5 papers · 1 filter
Geometry of quantum dynamics in infinite dimension
Janusz Grabowski, Marek Kus, Giuseppe Marmo +1
We develop a geometric approach to quantum mechanics based on the concept of the Tulczyjew triple. Our approach is genuinely infinite-dimensional and including a Lagrangian formali…
Variations of projectivity for C*-algebras
Don Hadwin, Tatiana Shulman
We consider various lifting problems for C*-algebras. As an application of our results we show that any commuting family of order zero maps from matrices to a von Neumann central s…
Elements of -algebras Attaining Their Norm in a Finite-Dimensional Representation
Kristin Courtney, Tatiana Shulman
We characterize the class of RFD -algebras as those containing a dense subset of elements that attain their norm under a finite-dimensional representation. We show further tha…
Continuity of spectral radius and type I -algebras
Tatiana Shulman
It is shown that the spectral radius is continuous on a -algebra if and only if the -algebra is type I. This answers a question of V. Shulman and Yu.~Turovskii [10]. It i…
Stability of group relations under small Hilbert-Schmidt perturbations
Don Hadwin, Tatiana Shulman
If matrices almost satisfying a group relation are close to matrices exactly satisfying the relation, then we say that a group is matricially stable. Here "almost" and "close" are…