Dual Fusion Frames

Abstract

The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogous to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We show that with this definition in many cases dual fusion frames behave similar to dual frames. We exhibit examples of non-canonical dual fusion frames.

Typos corrected

References in corpus (1)

• Properties of finite dual fusion frames

Cited by in corpus (8)

• Properties of finite dual fusion frames
• Some properties of dual and approximate dual of fusion frames
• A Survey of Fusion Frames in Hilbert Spaces
• Weaving Hilbert space fusion frames
• Cross Frame Potential
• On the relation of the frame-related operators of fusion frame systems
• Dual fusion frames in the sense of Kutyniok, Paternostro and Philipp with applications to invertible Bessel fusion multipliers
• On the duality of c-fusion frames in Hilbert spaces