4 papers · 1 filter
Localized frames without inequalities
Peter Balazs, Lukas Köhldorfer, Michael Speckbacher
We consider countable families of vectors in a separable Hilbert space, which are mutually localized with respect to a fixed localized Riesz basis. We prove the equivalence of the…
Localization of operator-valued frames
Lukas Köhldorfer, Peter Balazs
We introduce a localization concept for operator-valued frames, where the quality of localization is measured by the associated operator-valued Gram matrix belonging to some suitab…
Details on the distribution co-orbit space
Nikolas Hauschka, Peter Balazs, Lukas Köhldorfer
Associated with every separable Hilbert space and a given localized frame, there exists a natural test function Banach space and a Banach distribution…
On the inverse-closedness of operator-valued matrices with polynomial off-diagonal decay
Lukas Köhldorfer, Peter Balazs
We give a self-contained proof of a recently established -valued version of Jaffards Lemma. That is, we show that the Jaffard algebra of $\mathcal{B}(\mat…