16 citations · 99 across the 59 of their papers we have counts for
5 papers · 1 filter
On Kirillov's lemma for nilpotent Lie algebras
Ingrid Beltita, Daniel Beltita
We establish a sharpening of Kirillov's lemma on nilpotent Lie algebras with 1-dimensional center and use it to study the structure of 3-step nilpotent Lie algebras.
On the differentiable vectors for contragredient representations
Ingrid Beltita, Daniel Beltita
We establish a few simple results on contragredient representations of Lie groups, with a view toward applications to the abstract characterization of some spaces of pseudo-differe…
-Commutators: A Historical Survey II and recent advances on commutators of compact operators
Daniel Beltita, Sasmita Patnaik, Gary Weiss
A sequel to \cite{gW05}, we address again the single commutator problem \cite{PT71} of Pearcy and Topping: Is every compact operator a single commutator of compact operators? by fo…
Interplay between Algebraic Groups, Lie Algebras and Operator Ideals
Daniel Beltita, Sasmita Patnaik, Gary Weiss
In the framework of operator theory, we investigate a close Lie theoretic relationship between all operator ideals and certain classical groups of invertible operators that can be…
Inverse-closed algebras of integral operators on locally compact groups
Ingrid Beltita, Daniel Beltita
We construct some inverse-closed algebras of bounded integral operators with operator-valued kernels, acting in spaces of vector-valued functions on locally compact groups. To this…