Unconditionality of general Franklin systems in $L^p[0,1]$, 1 < p < ∞

Gegham G. Gevorkyan, and Anna Kamont. "Unconditionality of general Franklin systems in $L^{p}[0,1]$, 1 < p < ∞." Studia Mathematica 164.2 (2004): 161-204. <http://eudml.org/doc/284613>.

@article{GeghamG2004,
abstract = {By a general Franklin system corresponding to a dense sequence = (tₙ, n ≥ 0) of points in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots , that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is that each general Franklin system is an unconditional basis in $L^\{p\}[0,1]$, 1 < p < ∞.},
author = {Gegham G. Gevorkyan, Anna Kamont},
journal = {Studia Mathematica},
keywords = {Franklin system; unconditional basis; greedy basis},
language = {eng},
number = {2},
pages = {161-204},
title = {Unconditionality of general Franklin systems in $L^\{p\}[0,1]$, 1 < p < ∞},
url = {http://eudml.org/doc/284613},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Gegham G. Gevorkyan
AU - Anna Kamont
TI - Unconditionality of general Franklin systems in $L^{p}[0,1]$, 1 < p < ∞
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 2
SP - 161
EP - 204
AB - By a general Franklin system corresponding to a dense sequence = (tₙ, n ≥ 0) of points in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots , that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is that each general Franklin system is an unconditional basis in $L^{p}[0,1]$, 1 < p < ∞.
LA - eng
KW - Franklin system; unconditional basis; greedy basis
UR - http://eudml.org/doc/284613
ER -