Browsing Mathematics (Faculty of) by Author "Popov, Alexey I."
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Abelian, amenable operator algebras are similar to C∗ algebras
Marcoux, Laurent W.; Popov, Alexey I. (Duke University Press, 201612)Suppose that H is a complex Hilbert space and that ℬ(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C∗algebra. We do this by showing that if 𝒜⊆ℬ(H) is ... 
On selfadjoint extensions of semigroups of partial isometries
Bernik, Janez; Marcoux, Laurent W.; Popov, Alexey I.; Radjavi, Heydar (American Mathematical Society, 2016)Let S be a semigroup of partial isometries acting on a complex, infinite dimensional, separable Hilbert space. In this paper we seek criteria which will guarantee that the selfadjoint semigroup T generated by S consists ... 
Ranges of vector states on irreducible operator semigroups
Marcoux, L.W.; Omladič, M.; Popov, A.I.; Radjavi, H.; Yahaghi, B. (Springer, 2016)Let 𝜑 be a linear functional of rank one acting on an irreducible semigroup S of operators on a finite or infinitedimensional Hilbert space. It is a wellknown and simple fact that the range of 𝜑 cannot be a singleton. ...