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math.FA2013
Semigroups of Partial Isometries
Alexey I. Popov, Heydar Radjavi
We study self-adjoint semigroups of partial isometries on a Hilbert space. These semigroups coincide precisely with faithful representations of abstract inverse semigroups. Groups…
math.FA2013
Commutators of small rank and reducibility of operator semigroups
Ali Jafarian, Alexey I. Popov, Mehdi Radjabalipour +1
It is easy to see that if $\cG$ is a non-abelian group of unitary matrices, then for no members and of $\cG$ can the rank of be one. We examine the consequences of…
math.FA2013
On semigroups of nonnegative functions and positive operators
Roman Drnovšek, Heydar Radjavi
We give extensions of results on nonnegative matrix semigroups which deduce finiteness or boundedness of such semigroups from the corresponding local properties, e.g., from finiten…