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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 icon orcid.org/0000-0001-7126-7376 ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Fulltext: english, pdf (140 KB) pages 415-427 downloads: 189* cite
APA 6th Edition
Bakić, D. & Berić, T. (2015). ON EXCESSES OF FRAMES. Glasnik matematički, 50 (2), 415-427. https://doi.org/10.3336/gm.50.2.10
MLA 8th Edition
Bakić, Damir and Tomislav Berić. "ON EXCESSES OF FRAMES." Glasnik matematički, vol. 50, no. 2, 2015, pp. 415-427. https://doi.org/10.3336/gm.50.2.10. Accessed 5 Dec. 2021.
Chicago 17th Edition
Bakić, Damir and Tomislav Berić. "ON EXCESSES OF FRAMES." Glasnik matematički 50, no. 2 (2015): 415-427. https://doi.org/10.3336/gm.50.2.10
Harvard
Bakić, D., and Berić, T. (2015). 'ON EXCESSES OF FRAMES', Glasnik matematički, 50(2), pp. 415-427. https://doi.org/10.3336/gm.50.2.10
Vancouver
Bakić D, Berić T. ON EXCESSES OF FRAMES. Glasnik matematički [Internet]. 2015 [cited 2021 December 05];50(2):415-427. https://doi.org/10.3336/gm.50.2.10
IEEE
D. Bakić and T. Berić, "ON EXCESSES OF FRAMES", Glasnik matematički, vol.50, no. 2, pp. 415-427, 2015. [Online]. https://doi.org/10.3336/gm.50.2.10

Abstracts
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

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