Abstract
A necessary and sufficient condition for a complete sequence of subspaces to be a fusion Banach frame for E is given. Also, we introduce fusion Banach frame sequences and give a characterization for a complete sequence of subspaces of E to be a fusion Banach frame for E in terms of fusion Banach frame sequences. Finally, along with other results, we characterize fusion Banach frames in terms of Banach frames.
Received: 2008-04-23
Published Online: 2010-08-05
Published in Print: 2011-March
© de Gruyter 2011
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Schlagwörter für diesen Artikel
Frame;
Banach frame;
fusion Banach frame;
fusion Banach frame sequence
Artikel in diesem Heft
- Attractivity results for a nonlinear functional integral equation
- A biregular extension theorem from a fractal surface in
- Exceptional functions and normal families of holomorphic functions with multiple zeros
- A note on the existence of three positive periodic solutions of functional difference equation
- Necessary and sufficient optimality conditions for set-valued optimization problems
- A weak type inequality for the two-dimensional diagonal Sunouchi operator on the Hardy space
- Screen slant lightlike submanifolds of indefinite cosymplectic manifolds
- Electromagnetic scattering by cylindrical orthotropic waveguide irises
- On fusion frames in Banach spaces
- A note on Muckenhoupt type weight classes on nondoubling measure spaces
- (σ, τ)-amenability of C*-algebras
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities
- Function classes and convergence almost everywhere
- On the equivalence of a strong symmetrical and a strong complete differentiation basis