Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules

A generalization of multiplier, controlled g-frames and g-Bessel sequences to ∗-g-frames and ∗-g-Bessel sequences in Hilbert pro-C∗-modules is presented. It is demonstrated that controlled ∗-g-frames are equivalent to ∗-g-frames in Hilbert pro-C∗-modules.

Bibliografiset tiedot
Päätekijät: Zahra Ahmadi Moosavi, Akbar Nazari
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: Etamaths Publishing 2019-01-01
Sarja:International Journal of Analysis and Applications
Linkit:http://www.etamaths.com/index.php/ijaa/article/view/1733
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author Zahra Ahmadi Moosavi
Akbar Nazari
author_facet Zahra Ahmadi Moosavi
Akbar Nazari
author_sort Zahra Ahmadi Moosavi
collection DOAJ
description A generalization of multiplier, controlled g-frames and g-Bessel sequences to ∗-g-frames and ∗-g-Bessel sequences in Hilbert pro-C∗-modules is presented. It is demonstrated that controlled ∗-g-frames are equivalent to ∗-g-frames in Hilbert pro-C∗-modules.
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spelling doaj.art-6a5abc12cd1e409c84db5c8aa2394e0f2022-12-21T18:39:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-01-01171113352Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-ModulesZahra Ahmadi MoosaviAkbar NazariA generalization of multiplier, controlled g-frames and g-Bessel sequences to ∗-g-frames and ∗-g-Bessel sequences in Hilbert pro-C∗-modules is presented. It is demonstrated that controlled ∗-g-frames are equivalent to ∗-g-frames in Hilbert pro-C∗-modules.http://www.etamaths.com/index.php/ijaa/article/view/1733
spellingShingle Zahra Ahmadi Moosavi
Akbar Nazari
Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
International Journal of Analysis and Applications
title Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
title_full Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
title_fullStr Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
title_full_unstemmed Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
title_short Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
title_sort controlled ∗ g frames and ∗ g multipliers in hilbert pro c∗ modules
url http://www.etamaths.com/index.php/ijaa/article/view/1733
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