A note on some new inequalities of fusion frames in Hilbert C*-modules

On Some New Inequalities for Fusion Frames in Hilbert Spaces

Recently fusion frame was considered as a generalization of frame in Hilbert spaces. In this paper, we establish several new inequalities for fusion frames with a scalar in Hilbert spaces. It is shown that the results we obtained can immediately lead to the existing corresponding results when we choose suitable scalars. Mathematics subject classification (2010): 42C15, 47B40.

Fusion frames in Hilbert modules over pro-C*-algebras

New Inequalities for G–frames in Hilbert C∗–modules

In this paper, we establish several new inequalities for g-frames in Hilbert C∗ -modules which are different in structure from those previously obtained by Balan et al. for Hilbert space frames. We also present some equalities and inequalities for g-frames in Hilbert C∗ -modules with Moore–Penrose inverses and show that they are more general and cover some results in [Xiao, XC, Zeng, XM: Some p...

The study on controlled g-frames and controlled fusion frames in Hilbert C*-modules

Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator on abstract Hilbert spaces. Fusion frames and g-frames generalize frames. Hilbert C*-modules form a wide category between Hilbert spaces and Banach spaces. Hilbert C*-modules are generalizations of Hilbert spaces by allowing the inner product to take values in a C*...

Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules

In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and ...