Some properties of operator-valued frames. Issue 2 (March 2016)

• Record Type: Journal Article
• Authors: GĂVRUŢA, Laura; GĂVRUŢA, Paşc
• Is Part Of: Acta mathematica scientia. Volume 36:Issue 2(2016)
• Page Start: 469
• Page End: 476
• Publication Date: 2016-03
• Subjects: Frames -- g-frames; 42C15; Mathematical physics -- Periodicals; 530.15
• DOI: 10.1016/S0252-9602(16)30013-3
• Languages: English
• ISSNs: 0252-9602

Abstract

Abstract: Operator-valued frames (or g -frames) are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. In this article, we give a new formula for operator-valued frames for finite dimensional Hilbert spaces. As an application, we derive in a simple manner a recent result of A. Najati concerning the approximation of g -frames by Parseval ones. We obtain also some results concerning the best approximation of operator-valued frames by its alternate duals, with optimal estimates.