Radius of analyticity of a power series on real Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Papadiamantis, Marios K.¹  Sarantopoulos, Yannis¹ 

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

关键词: Power series;    Banach spaces;    Multilinear maps;    Radius of analyticity;   

DOI  :  10.1016/j.jmaa.2015.09.067

来源: Elsevier

【 摘 要 】

If F(x) is a power series, rho its radius of uniform convergence and rho(A) its radius of analyticity, we improve T. Nguyen's result to rho(A) >= rho/root 2 and give some respective results for the nth Frechet derivative of F(x). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free