Frames in super Hilbert modules

Frames in super Hilbert modules

In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert...

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Main Author: Mehdi Rashidi-Kouchi
Format: Article
Language:English
Published: University of Maragheh 2018-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Super Hilbert
Frame
G-Frame
Hilbert $C^*$-module
Online Access:http://scma.maragheh.ac.ir/article_23847_a719336ebb8e112974c326ddac5e743a.pdf
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spelling doaj-66e1328fc80349d9869350104f5997502020-11-25T00:32:54ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-01-019112914223847Frames in super Hilbert modulesMehdi Rashidi-Kouchi0Young Researchers and Elite Club Kahnooj Branch, Islamic Azad University, Kerman, Iran.In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.http://scma.maragheh.ac.ir/article_23847_a719336ebb8e112974c326ddac5e743a.pdfSuper HilbertFrameG-FrameHilbert $C^*$-module
collection DOAJ
language English
format Article
sources DOAJ
author Mehdi Rashidi-Kouchi
spellingShingle Mehdi Rashidi-Kouchi
Frames in super Hilbert modules
Sahand Communications in Mathematical Analysis
Super Hilbert
Frame
G-Frame
Hilbert $C^*$-module
author_facet Mehdi Rashidi-Kouchi
author_sort Mehdi Rashidi-Kouchi
title Frames in super Hilbert modules
title_short Frames in super Hilbert modules
title_full Frames in super Hilbert modules
title_fullStr Frames in super Hilbert modules
title_full_unstemmed Frames in super Hilbert modules
title_sort frames in super hilbert modules
publisher University of Maragheh
series Sahand Communications in Mathematical Analysis
issn 2322-5807
2423-3900
publishDate 2018-01-01
description In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.
topic Super Hilbert
Frame
G-Frame
Hilbert $C^*$-module
url http://scma.maragheh.ac.ir/article_23847_a719336ebb8e112974c326ddac5e743a.pdf
work_keys_str_mv AT mehdirashidikouchi framesinsuperhilbertmodules
_version_ 1725318334193336320

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