Title : ( On the Uniformly Discrete and Minimal System for a Banach Subspace in $$L_p({\mathbb{R}}^{d})$$ )
Authors: Fahimeh Valizadeh , H. Rahimi , Rajab Ali Kamyabi Gol , F. Esmaeelzadeh ,
Full TextAbstract
In this note, it is shown that if ðfi; giÞ1 i¼1 2 LpðRdÞ LqðRdÞ is a Schauder frame for a closed subspace X of LpðRdÞ, then X embeds almost isometrically into lp. Also, the same conclusion holds, if for f 2 LpðRdÞ, the translations f by fxi : xi 2 Rdg is a bounded minimal system for X. A basis (frame) for the Banach space Lp½0; 12, 1Keywords
, Schauder frame, Minimal system, Almost isometrically, wavelet
@article{paperid:1079670,
author = {فهیمه ولی زاده and رحیمی and Kamyabi Gol, Rajab Ali and اسماعیل زاده},
title = {On the Uniformly Discrete and Minimal System for a Banach Subspace in $$L_p({\mathbb{R}}^{d})$$},
journal = {Iranian Journal of Science and Technology-Transaction A: Science},
year = {2020},
volume = {44},
number = {2},
month = {April},
issn = {1028-6276},
pages = {509--517},
numpages = {8},
keywords = {Schauder frame; Minimal system; Almost isometrically; wavelet},
}
%0 Journal Article
%T On the Uniformly Discrete and Minimal System for a Banach Subspace in $$L_p({\mathbb{R}}^{d})$$
%A فهیمه ولی زاده
%A رحیمی
%A Kamyabi Gol, Rajab Ali
%A اسماعیل زاده
%J Iranian Journal of Science and Technology-Transaction A: Science
%@ 1028-6276
%D 2020
