Construction and coupling of frames in Hilbert spaces wiht W-metrics (Q2831528)
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scientific article; zbMATH DE number 6651181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction and coupling of frames in Hilbert spaces wiht W-metrics |
scientific article; zbMATH DE number 6651181 |
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10 November 2016
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frames
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Krein spaces
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W-spaces
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Construction and coupling of frames in Hilbert spaces wiht W-metrics (English)
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The authors give some results on frames in Krein spaces and in Hilbert spaces with W-metric.They give the construction of frames from a positive and J-adjoint operator, prove that two frames are similar if and only if their respective analysis operators have the same range and prove that the coupling of two frames is a frame. For related papers on the subject, see: [\textit{J. I. Giribet} et al., J. Math. Anal. Appl. 393, No. 1, 122--137 (2012; Zbl 1253.46033)] and [\textit{K. Esmeral} et al., Banach J. Math. Anal. 9, No. 1, 1--16 (2015; Zbl 1311.42076)].
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