A lower bound on the radius of analyticity of a power series in a real Banach space

Timothy Nguyen. "A lower bound on the radius of analyticity of a power series in a real Banach space." Studia Mathematica 191.2 (2009): 171-179. <http://eudml.org/doc/286439>.

@article{TimothyNguyen2009,
abstract = {Let F be a power series centered at the origin in a real Banach space with radius of uniform convergence ϱ. We show that F is analytic in the open ball B of radius ϱ/√e, and furthermore, the Taylor series of F about any point a ∈ B converges uniformly within every closed ball centered at a contained in B.},
author = {Timothy Nguyen},
journal = {Studia Mathematica},
keywords = {power series; Banach space; multilinear maps},
language = {eng},
number = {2},
pages = {171-179},
title = {A lower bound on the radius of analyticity of a power series in a real Banach space},
url = {http://eudml.org/doc/286439},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Timothy Nguyen
TI - A lower bound on the radius of analyticity of a power series in a real Banach space
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 2
SP - 171
EP - 179
AB - Let F be a power series centered at the origin in a real Banach space with radius of uniform convergence ϱ. We show that F is analytic in the open ball B of radius ϱ/√e, and furthermore, the Taylor series of F about any point a ∈ B converges uniformly within every closed ball centered at a contained in B.
LA - eng
KW - power series; Banach space; multilinear maps
UR - http://eudml.org/doc/286439
ER -