Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(5)
c algebra
Existence and Uniqueness
Functional Analysis
hilbert c module
Operator Algebra
Subscribe
Academic
Publications
Structured Parseval Frames in Hilbert $C^*$modules
Structured Parseval Frames in Hilbert $C^*$modules,Wu Jing,Deguang Han,Ram N. Mohapatra
Edit
Structured Parseval Frames in Hilbert $C^*$modules
(
Citations: 3
)
BibTex

RIS

RefWorks
Download
Wu Jing
,
Deguang Han
,
Ram N. Mohapatra
We investigate the structured frames for Hilbert $C^{*}$modules. In the case that the underlying $C^{*}$algebra is a commutative $W^*$algebra, we prove that the set of the Parseval frame generators for a unitary operator group can be parameterized by the set of all the unitary operators in the double commutant of the group. Similar result holds for the set of all the general frame generators where the unitary operators are replaced by invertible and adjointable operators. Consequently, the set of all the Parseval frame generators is pathconnected. We also obtain the
existence and uniqueness
results for the best Parseval multiframe approximations for multiframe generators of unitary operator groups on Hilbert $C^*$modules when the underlying $C^{*}$algebra is commutative.
Published in 2006.
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
adsabs.harvard.edu
)
(
arxiv.org
)
References
(13)
Wandering vectors for unitary systems and orthogonal wavelets
(
Citations: 129
)
X Dai
,
D. R. Larson
Published in 1998.
Tight frame approximation for multiframes and superframes
(
Citations: 5
)
Deguang Han
Journal:
Journal of Approximation Theory  JAT
, vol. 129, no. 1, pp. 7893, 2004
Hilbert Cmodules:theorems of Stinespring and Voiculescu
(
Citations: 143
)
G. G. Kasparov
Published in 1980.
Hilbert Cmodules: a toolkit for operator algebraists
(
Citations: 155
)
E. C. Lance
Published in 1995.
Inner Product Modules Over B ∗ Algebras
(
Citations: 195
)
William L. Paschke
Journal:
Transactions of The American Mathematical Society  TRANS AMER MATH SOC
, vol. 182, 1973
Sort by:
Citations
(3)
Perturbation of frames and Riesz bases in Hilbert C ∗ modules
(
Citations: 1
)
Deguang Han
,
Wu Jing
,
Ram N. Mohapatra
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 431, no. 5, pp. 746759, 2009
Riesz bases and their dual modular frames in Hilbert C ∗ modules
(
Citations: 2
)
Deguang Han
,
Wu Jing
,
David Larson
,
Ram N. Mohapatra
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 343, no. 1, pp. 246256, 2008
Dilation of Dual Frame Pairs in Hilbert C *Modules
Deguang Han
,
Wu Jing
,
David Larson
,
Pengtong Li
,
Ram N. Mohapatra
Journal:
Results in Mathematics  RESULTS MATH
, pp. 110