Radius of analyticity of analytic functions on Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:463

Article

Boyd, Christopher¹  Ryan, Raymond A.²  Snigireva, Nina² 

[1] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland

[2] Natl Univ Ireland Galway, Sch Math Stat & Appl Math, Galway, Ireland

关键词: Real analytic function;    Radius of convergence;    Banach lattice;    Regular polynomial;   

DOI  :  10.1016/j.jmaa.2018.03.004

来源: Elsevier

【 摘 要 】

We examine the question of when the radius of analyticity of a real analytic function on a real Banach space is equal to its radius of uniform convergence. We will see that a positive solution to this problem on l(1) implies a positive solution on all Banach spaces. In the final section we show that our question has an affirmative answer for power series of positive polynomials on Banach lattices. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free