A note on a class of homeomorphisms between Banach spaces
Volume 103 / 2005
                    
                    
                        Colloquium Mathematicum 103 (2005), 169-172                    
                                        
                        MSC: 46G05, 46T20, 15A69.                    
                                        
                        DOI: 10.4064/cm103-2-2                    
                                    
                                                Abstract
This paper deals with homeomorphisms $F:X \to Y$, between Banach spaces $X$ and $Y$, which are of the form $$ F(x):=\widetilde{F}x^{(2n+1)} $$ where $\widetilde{F}: X^{2n+1}\to Y$ is a continuous $(2n+1)$-linear operator.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            