K-frames which are generalization of frames on Hilbert spaces,

were introduced to study atomic systems with respect to a bounded

linear operator. In this paper, ∗-K-frames on HilbertC

∗

-modules,

as a...

In this paper, we study frames for operators (K-frames) in finite dimensional

Hilbert spaces and express the dual of K-frames. Some properties of K-dual frames are

investigated. Furthermore, the notion of their oblique K-dual and some...

In this paper, we study frames for operators (K-frames) in finite dimentional Hilbert spaces and express

the dual of K-frames. Some properties of K-dual frames are investigated. Furthermore, the notion of their

oblique K-duals and some...

In this paper, the concept of a family of local atoms in a Banach space is introduced by using a semi-inner product (s.i.p.). Then this concept is generalized to an atomic system for operators in Banach spaces. We also ...

In this paper, we propose to define an atomic system induced

by a unitary representation $\\pi$ of a locally compact Hausdorff topological

group on a Hilbert space. As a consequence, we give a K-frame corre-

sponding to a...