Fréchet and GF frames and invertibility of frame multipliers on Banach and Fréchet frames Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, Serbia
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 49 (2024), p. 5
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we indicate some of our earlier results concerning localization of Fréchet frames and invertibility of the frame operator for such frames, as well as some new results in this direction concerning the more general case of frame multipliers and including two versions of GS-frames which we introduce for the first time in our investigations.
Classification :
42C15, 46A13, 46B15, 46F05
Keywords: localized frame, Banach frame, frame multiplier, invertibility, Fréchet frame, tempered distributions, ultradistributions, frame expansions
Keywords: localized frame, Banach frame, frame multiplier, invertibility, Fréchet frame, tempered distributions, ultradistributions, frame expansions
Diana Stoeva; Stevan Pilipović. Fréchet and GF frames and invertibility of frame multipliers on Banach and Fréchet frames Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, Serbia. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 49 (2024), p. 5 . http://geodesic.mathdoc.fr/item/BASS_2024_49_a1/
@article{BASS_2024_49_a1,
author = {Diana Stoeva and Stevan Pilipovi\'c},
title = {Fr\'echet and {GF} frames and invertibility of frame multipliers on {Banach} and {Fr\'echet} frames {Department} of {Mathematics} and {Informatics,} {Faculty} of {Sciences,} {University} of {Novi} {Sad,} {Novi} {Sad,} {Serbia}},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {5 },
year = {2024},
volume = {49},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2024_49_a1/}
}
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