5 citations · 8 across the 6 of their papers we have counts for
6 papers · 1 filter
Wold decompositions for operators close to isometries
Laura Gavruta
In Bergman and Dirichlet spaces, the shift operator is not an isometry, but it is a left invertible operator. In this paper we give conditions on the left invertible operators such…
Some properties of operator-valued frames
L. Gavruta, P. Gavruta
Operator-valued frames (or g-frames) are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more.…
Embeddings of vector-valued Bergman spaces
Olivia Constantin, Laura Gavruta
We remark that a dyadic version of the Carleson embedding theorem for the Bergman space extends to vector-valued functions and operator-valued measures. This is in contrast to a re…
Two classes of Meir-Keeler contractions
L. Gavruta, P. Gavruta, F. Khojasteh
In the present paper, we prove that Z-contractions and weakly type contractions are actually Meir-Keeler contractions.
Frames for compressed sensing using coherence
L. Gavruta, G. Zamani Eskandani, P. Gavruta
We give some new results on sparse signal recovery in the presence of noise, for weighted spaces. Traditionally, were used dictionaries that have the norm equal to 1, but, for rand…
Atomic decompositions for operators in reproducing kernel Hilbert spaces
Laura Gavruta
In this paper, we give some results concerning atomic decompositions for operators on reproducing kernel Hilbert spaces, using frame theory techniques. We provide also generalizati…