Generalized frames with C-valued bounds and their operator duals

Certain facts about frames and generalized frames are extended for the new g-frames, referred as *-g-frames, in a Hilbert C*-modules. As a matter of fact, some relations are establish between *-frames and *-g-frames in a Hilbert C*-module. Furthermore, the paper studies the operators associated to a...

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Bibliographic Details
Published in:Filomat 2015-01, Vol.29 (7), p.1469-1479
Main Author: Alijani, A.
Format: Article
Language:English
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Summary:Certain facts about frames and generalized frames are extended for the new g-frames, referred as *-g-frames, in a Hilbert C*-modules. As a matter of fact, some relations are establish between *-frames and *-g-frames in a Hilbert C*-module. Furthermore, the paper studies the operators associated to a given *-g-frame, the construction of new *-g-frames. Moreover, the operator duals for a *-g-frame are introduced and their properties are investigated. Finally, operator duals of a *-g-frame are characterized. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1507469A