Imaginaries in Hilbert spaces

Imaginaries in Hilbert spaces

We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.

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.  

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...