Frames, Semi-Frames, and Hilbert Scales

Generalized Frames in Hilbert Spaces

Frames in super Hilbert modules

In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.

Frames and scales

While Program A (“200 people will be saved”) was chosen 72% of the time, its counterpart Program C (“400 people will die”) got only 22% of the participants’ votes. Whereas from a layman’s perspective, this finding may seem unsurprising, it is of considerable academic interest, because it causes a major embarrassment to the classical view on decision making. The trouble is that on this view ther...

G-frames and Hilbert-Schmidt operators

In this paper we introduce and study Besselian $g$-frames. We show that the kernel of associated synthesis operator for a Besselian $g$-frame is finite dimensional. We also introduce $alpha$-dual of a $g$-frame and we get some results when we use the Hilbert-Schmidt norm for the members of a $g$-frame in a finite dimensional Hilbert space.

Fusion Frames and G-Frames in Hilbert C*-Modules

The notion of frame has some generalizations such as frames of subspaces, fusion frames and g -frames. In this paper we introduce frames of submodules, fusion frames and g -frames in Hilbert C∗ -modules and we show that they share many useful properties with their corresponding notions in Hilbert space. We also generalize a perturbation result in frame theory to g -frames in Hilbert spaces.