Tomography in Abstract Hilbert Spaces

Generalized Frames in Hilbert Spaces

FUSION FRAMES IN HILBERT SPACES

Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.  

Gleason’s Theorem for non-separable Hilbert spaces: Extended abstract

The probelm of generalizing Gleason’s theorem to the non separable case arose in correspondence with Paul Chernoff. I am very grateful to him for suggesting this charming problem to me. Let H be a Hilbert space. The coefficient field K of H can be either the reals or the complexes. We let P(H) denote the collection of all closed subspaces of H. A Gleason measure on H is a map μ : P(H) → [0, 1] ...

Multipliers of generalized frames in Hilbert spaces

$G$-Frames for operators in Hilbert spaces

$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper, we give a new ge...