Riesz bases and their dual modular frames in Hilbert C-modules Academic Article

abstract

• We investigate dual frames of modular frames and Riesz bases in Hilbert C*-modules. In Hilbert C*-modules, a Riesz basis may have many dual modular frames, and it may even admit two different dual modular frames both of which are Riesz bases. We characterize those Riesz bases that have unique duals. In addition, we obtain a necessary and sufficient condition for a dual of a Riesz basis to be again a Riesz basis, and prove some new related results. 2008.

authors

• Larson, David

published proceedings

• Journal of Mathematical Analysis and Applications

author list (cited authors)

• Han, D., Jing, W. u., Larson, D., & Mohapatra, R. N.

citation count

• 18

complete list of authors

• Han, Deguang||Jing, Wu||Larson, David||Mohapatra, Ram N

publication date

• January 2008

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jmaa.2008.01.013

start page

• 246

end page

• 256

volume

• 343

issue

• 1

URL

• http://dx.doi.org/10.1016/j.jmaa.2008.01.013