Uniform excess frames in Hilbert spaces
type: Item
instance of: scholarly article
title: Uniform excess frames in Hilbert spaces
zbMATH Open document ID: 1403.42040
author: Xiangchun Xiao
author: Guorong Zhou
author: Yucan Zhu
published in: Results in Mathematics
publication date: 2018-10-25T00:00:00Z
review text: Let \(H\) be an \(N\)-dimensional Hilbert space. A sequence \(\{f_i\}_{i=1}^M\) is called \(m\)-uniform excess frame for \(H\) if it remains a frame (i.e. a spanning set) for \(H\) after the removal of any \(m\) vectors. \((M-N)\)-uniform excess frames are called full spark frames. In this article the authors discuss some properties of uniform excess frames and full spark frames, in particular, the full range property and the weaving property of frames.
reviewed by: Ljiljana Arambašić
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6965847
zbMATH Keywords: uniform excess frame
zbMATH Keywords: full spark frame
zbMATH Keywords: full range property
zbMATH Keywords: woven
zbMATH Keywords: F-connected
MaRDI profile type: Publication
full work available at URL: s00025-018-0871-0
OpenAlex ID: W2884676664
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DOI: 10.1007/S00025-018-0871-0
description: scientific article; zbMATH DE number 6965847