A+ CATEGORY SCIENTIFIC UNIT

A note on a class of homeomorphisms between Banach spaces

Volume 103 / 2005

Piotr Fijałkowski 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.

Authors

  • Piotr FijałkowskiFaculty of Mathematics
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail

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