Uniform Excess Frames in Hilbert Spaces

In this paper we mainly discuss the uniform excess of frames in finite dimensional Hilbert spaces. We discuss the relationship between uniform excess frames and full spark frames, give several methods to construct uniform excess frames. We also show that every full spark frame has the full range pro...

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Veröffentlicht in:Resultate der Mathematik 2018-09, Vol.73 (3), Article 108
Hauptverfasser: Xiao, Xiangchun, Zhou, Guorong, Zhu, Yucan
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we mainly discuss the uniform excess of frames in finite dimensional Hilbert spaces. We discuss the relationship between uniform excess frames and full spark frames, give several methods to construct uniform excess frames. We also show that every full spark frame has the full range property and the intersection dependent property, and is linearly connected. At the same time we give a sufficient condition for two uniform excess frames can be woven.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-018-0871-0