5 citations · 10 across the 9 of their papers we have counts for
10 papers
On the connections between -contractions and Meir-Keeler contractions
Laura Manolescu, Pasc Gavruta
In this paper, we resolve an open problem concerning the connection between -contractions (Wardowski contractions) and Meir-Keeler contractions. We prove that for a nondecreasin…
New classes of Picard operators
Pasc Gavruta, Laura Manolescu
In this paper, we give new results concerning the existence of Picard operators on complete metric spaces.
On symmetric decompositions of positive operators
Maria Anastasia Jivulescu, Ion Nechita, Pasc Gavruta
Inspired by some problems in Quantum Information Theory, we present some results concerning decompositions of positive operators acting on finite dimensional Hilbert spaces. We foc…
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.…
Multipliers of pg-Bessel sequences in Banach spaces
M. R. Abdollahpour, A. Najati, P. Gavruta
In this paper, we introduce (p,q)g-Bessel multipliers in Banach spaces and we show that under some conditions a (p,q)g-Bessel multiplier is invertible. Also, we show the continuous…
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…
Frames and operators in Hilbert C*-modules
Abbas Najati, M. Mohammadi Saem, P. Gavruta
In this paper we introduce the concepts of atomic systems for operators and K-frames in Hilbert C*-modules and we establish some results.
On the Feichtinger Conjecture
P. Gavruta
We prove the Feichtinger Conjecture for a class of Bessel sequences of unit norm vectors in a Hilbert space. Also, we prove that every Bessel sequence of unit vectors in a Hilbert…
Superstability of adjointable mappings on Hilbert -modules
Michael Frank, Pasc Gavruta, Mohammad Sal Moslehian
We define the notion of -perturbation of a densely defined adjointable mapping and prove that any such mapping between Hilbert -modules over a fixed -alge…