Title : ( Frames for operators in Banach spaces via semi-inner products )
Authors: Bahram Dastourian , Mohammad Janfada ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, the concept of a family of local atoms in a Banach space is introduced by using a semi-inner product (s.i.p.). Then this concept is generalized to an atomic system for operators in Banach spaces. We also give some characterizations of atomic systems leading to new frames for operators. In addition, a reconstruction formula is obtained. The characterizations of atomic systems allow us to state some results for sampling theory in s.i.p reproducing kernel Banach spaces. Finally, we define the concept of frame operator for these kinds of frames in Banach spaces and then we establish a perturbation result in this framework.
Keywords
, X∗, d -K-frame; X∗, d -atomic system; family of local X∗, d -atom; semi-inner product; sampling; reproducing kernel Banach space; X∗, d -K-frame operator; perturbation.
@article{paperid:1055735,
author = {Dastourian, Bahram and Janfada, Mohammad},
title = {Frames for operators in Banach spaces via semi-inner products},
journal = {International Journal of Wavelets, Multiresolution and Information Processing},
year = {2016},
volume = {14},
number = {3},
month = {April},
issn = {0219-6913},
pages = {1650011--17},
numpages = {-1649994},
keywords = {X∗; d -K-frame; X∗; d -atomic system; family of local X∗; d -atom; semi-inner product; sampling; reproducing kernel Banach space; X∗; d -K-frame operator; perturbation.},
}
%0 Journal Article
%T Frames for operators in Banach spaces via semi-inner products
%A Dastourian, Bahram
%A Janfada, Mohammad
%J International Journal of Wavelets, Multiresolution and Information Processing
%@ 0219-6913
%D 2016
