Frames for operators in Banach spaces via semi-inner products
DOI10.1142/S0219691316500119zbMath1338.42042arXiv1506.07691OpenAlexW3103958343MaRDI QIDQ2812448
Bahram Dastourian, Mohammad Janfada
Publication date: 16 June 2016
Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07691
samplingperturbationsemi-inner productreproducing kernel Banach space\(X^\ast_d\)-\(K\)-frame\(X^\ast_d\)-\(K\)-frame operator\(X^\ast_d\)-atomic systemfamily of local \(X^\ast_d\)-atom
Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Sampling theory in information and communication theory (94A20)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frame expansions in separable Banach spaces
- On generalized adjoint Abelian operators on Banach spaces
- Representation of linear functionals in a Banach space
- Frames for operators in Banach spaces via semi-inner products
- SIP Xd-frames and their perturbations in uniformly convex Banach spaces
- Semi-Inner-Product Spaces
- GENERALIZATION OF THE FRAME OPERATOR AND THE CANONICAL DUAL FRAME TO BANACH SPACES
- A Construction of Rational Wavelets and Frames in Hardy--Sobolev Spaces With Applications to System Modeling
- GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES
This page was built for publication: Frames for operators in Banach spaces via semi-inner products