Original scientific paper

https://doi.org/10.3336/gm.50.2.10

ON EXCESSES OF FRAMES

Damir Bakić ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Tomislav Berić orcid.org/0000-0001-7126-7376 ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Abstract

We show that any two frames in a separable Hilbert space that are dual to each other have the same excess. Some new relations for the analysis resp. synthesis operators of dual frames are also derived. Then we prove that pseudo-dual frames and, in particular, approximately dual frames have the same excess. We also discuss various results on frames in which excesses of frames play an important role.

Keywords

Frame; Parseval frame; excess

Hrčak ID:

150148

URI

https://hrcak.srce.hr/150148

Publication date:

29.12.2015.

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