.png){kind=icon}
.png){kind=icon}
Return
On Greedy Types Frame Systems
.png){kind=icon}
PRE
AI
DOI：10.3103/S1068362325700244.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this article, we introduce greedy-type frame systems in Hilbert spaces. Some modified variants of greedy type frame systems, like super disjoint democratic and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K$$\end{document}-partially democratic, are introduced, and their existence and interrelationships are established. Also, frame systems satisfying different greedy-type properties specifically Property(\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A$$\end{document}), Property(\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Q$$\end{document}), Property (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Q<^>{*}$$\end{document}) and Property (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Q<^>{**}$$\end{document}) are defined, and relations among them are established. Further, partially and consecutive almost greedy frame systems are defined, and new results are given. Additionally, examples highlight the contrasts between infinite and finite dimensional settings, providing insights into the structure and behavior of greedy frames.
Keywords:
frames
greedy approximation
democratic frames
almost-greedy frames
Journal
J
IF:
0
Papers:
26
Citations:
0