11 citations · 12 across the 4 of their papers we have counts for
4 papers
Elementary operators on Hilbert modules over prime -algebras
Ljiljana Arambašić, Ilja Gogić
Let be a right Hilbert module over a -algebra equipped with the canonical operator space structure. We define an elementary operator on as a map for w…
Expansions from frame coefficients with erasures
Ljiljana Arambasic, Damir Bakic
We propose a new approach to the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients…
A treatment of the Cauchy--Schwarz inequality in -modules
LJ. Arambasic, D. Bakic, M. S. Moslehian
We study the Cauchy--Schwarz and some related inequalities in a semi-inner product module over a -algebra $\A$. The key idea is to consider a semi-inner product $\A$-module as…
A characterization of Hilbert -modules over finite dimensional -algebras
Lj. Arambasic, D. Bakic, M. S. Moslehian
We show that the unit ball of a full Hilbert -module is sequentially compact in a certain weak topology if and only if the underlying -algebra is finite dimensional. This…