The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames  which is important for frame applications, have been specified  completely for the c...

In this article, we consider pair frames in Banach spaces and   introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as   special kinds of (Banach) pair frames.  Some frame-like inequalities  for (Banach)  pair frames are presented. The elements that participant  in the construction of (Ba...

We introduce the notion of a g-atomic subspace for bounded linear operator and construct several useful resolutions identity on Hilbert space using theory g-fusion frames. Also we shall describe concept frame pair Bessel sequences some their properties.

In this paper we describe Poisson structures defined on the space of Serret-Frenet equations of curves in a flat homogeneous space G/H where G is semisimple. These structures are defined via Poisson reduction from Poisson brackets on Lg∗, the space of Loops in g∗. We also give conditions on invariant geometric evolution of curves in G/H which guarantee that the evolution induced on the differen...

Piccoli GB, Soragna G, Rossetti M, Putaggio S, Perrotta L, Bonetto A, Magnano A, Vercellone F (2005) NonCompliance after a Kidney-Pancreas Transplantation – A Narrative CaseAnalysis Involving Different PatientPhysician Relationships and Ethical Frames. Tx Med 17: 107-114 Non-Compliance after a Kidney-Pancreas Transplantation – A Narrative Case-Analysis Involving Different Patient-Physician Rela...

Controlled g-atomic subspace for a bounded linear operator is being presented and characterization has been given. We give an example of controlled K-g-fusion frame. construct new frame the Hilbert space H ? X using frames spaces X. Several useful resolutions identity on theory g-fusion have discussed. Frame pair Bessel sequences introduced.

In this paper we describe moving frames and differential invariants for curves in two different |1|-graded parabolic manifolds G/H, G = O(p + 1, q + 1) and G = O(2m, 2m), and we define differential invariants of projective-type. We then show that, in the first case, there are geometric flows in G/H inducing equations of KdV-type in the projective-type differential invariants when proper initial...

Recently, Pawlik et al. [3] have shown that triangle-free intersection graphs of line segments can have arbitrary large chromatic number, thus answering a long standing conjecture of Erdős [1] in the negative. They show this by constructing a sequence of graphs that have chromatic number tending to infinity. In fact, the chromatic number is O(log logn) where n is the number of vertices. Graphs ...