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Pseudo-Duals of Frames with Applications

✍ Scribed by Shidong Li; Hidemitsu Ogawa

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 155 KB
Volume: 11
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0347

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✦ Synopsis

We show that there are duals {x * n } to a given (nonexact) frame {x n } that are not usual frames. In particular, these duals are not Bessel sequences. We call them pseudo-duals. A characterization and a constructions of pseudo-duals are given. Examples and potential applications of pseudo-dual theory are discussed.

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