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Some properties of g-frames in Hilbert C∗-modules
- Source :
- Journal of Mathematical Analysis and Applications. 363:399-408
- Publication Year :
- 2010
- Publisher :
- Elsevier BV, 2010.
-
Abstract
- In this paper we give some new results for g-frames in Hilbert C∗-modules and then we introduce a bounded A-linear operator L, by means of this operator L we character the properties of the g-frames and g-Riesz basis in Hilbert C∗-modules. Finally, we establish some important equalities and inequalities for frames and g-frames in Hilbert C∗-modules.
- Subjects :
- Hilbert's second problem
Character
Hilbert series and Hilbert polynomial
Hilbert manifold
Hilbert R-tree
Applied Mathematics
Hilbert's fourteenth problem
Hilbert's basis theorem
Algebra
symbols.namesake
g-Frame
Hilbert C∗-module
symbols
Hilbert A-module
Hilbert C*-module
Analysis
Hilbert–Poincaré series
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 363
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi.dedup.....20513a51fd69156c72139166ca4b7d21
- Full Text :
- https://doi.org/10.1016/j.jmaa.2009.08.043