A New Inequality for Frames in Hilbert Spaces

We obtain a new inequality for frames in Hilbert spaces associated with a scalar and a bounded linear operator induced by two Bessel sequences. It turns out that the corresponding results due to Balan et al. and Găvruţa can be deduced from our result.

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Bibliographic Details
Published inJournal of function spaces Vol. 2018; no. 2018; pp. 1 - 6
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Equality
Frames
Hilbert space
Information theory
Linear operators
Mathematics
China
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Summary:We obtain a new inequality for frames in Hilbert spaces associated with a scalar and a bounded linear operator induced by two Bessel sequences. It turns out that the corresponding results due to Balan et al. and Găvruţa can be deduced from our result.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/2108580