Can I read Fekete's lemma in Banach spaces on EtoBox?

Fekete's lemma in Banach spaces by Kulikov, Aleksei; Shao, Feng is a scholarly article available to read on EtoBox.

What is Fekete's lemma in Banach spaces about?

For a sequence of vectors $\{v_n\}_{n\in\mathbb{N}}$ in the uniformly convex Banach space $X$ which for all $n, m\in \mathbb{N}$ satisfy $\|v_{n+m}\|\le \|v_n + v_m\|$ we show the existence of the limit $\lim_{n\to \infty} \frac{v_n}{n}$. This extends the classical Fekete's subadditivite lemma to Banach space-valued sequences.

Author

Kulikov, Aleksei; Shao, Feng

Published

2024

Language

EN