In this paper, we introduce controlled frames in Hilbert C∗-modules and we show that they
share many useful properties with their corresponding notions in Hilbert space. Next, we …

Controlled frames have been introduced to improve the numerical efficiency of iterative
algorithms for inverting the frame operator. In this paper, we introduce the concept of …

We use two appropriate bounded invertible operators to define a controlled frame with
optimal frame bounds. We characterize those operators that produces Parseval controlled …

K-frames were recently introduced by L. G\v {a} vruta in Hilbert spaces to study atomic
systems with respect to bounded linear operator. Also controlled frames have been recently …

In this paper, we introduce and characterize controlled dual frames in Hilbert spaces. We
also investigate the relation between bounds of controlled frames and their related frames …

The exploration of pseudo-Hermitian quantum mechanics has led to rapid progress in the
methods of constructing inner products and determining the observables of the theory in …

arxiv:1706.04003v1 [math.FA] 13 Jun 2017 Page 1 arxiv:1706.04003v1 [math.FA] 13 Jun
2017 DUAL PAIR AND APPROXIMATE DUAL FOR CONTINUOUS FRAMES IN HILBERT …

Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for
improving the numerical efficiency of interactive algorithms for inverting the frame operator …

Controlled frames and g-frames were considered recently as generalizations of frames in
Hilbert spaces. In this paper we generalize some of the known results in frame theory to …

Controlled frames have been recently introduced in Hilbert spaces to improve the numerical
efficiency of interactive algorithms for inverting the frame operator. In this paper, unlike the …