IJPAM: Volume 23, No. 3 (2005)

RATIONAL MAPS BETWEEN DOMAINS
OF REAL BANACH SPACES

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Fix an even integer $p \ge 2$. Fix $P\in \ell _p$ and $r>0$. Let $\bar{B}(P,r) \subset \ell _p$ be the closed ball with center $P$ and ratius $r$. Here we prove the existence of bijections $\phi _p: \ell _p\backslash \{0\} \to \ell _p$ and $\psi _p: \ell _p\backslash \bar{B}(P,r) \to \ell _p$ which are no-pole componentwise rational maps and whose inverse are real analytic.

Received: June 21, 2005

AMS Subject Classification: 32C05, 32D20, 32K99, 46E99

Key Words and Phrases: real rational map in infinite-dimension, polynomial maps between real Banach spaces, real analytic map

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 23
Issue: 3