A note on a class of homeomorphisms between Banach spaces

Piotr Fijałkowski

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 2, page 169-172
  • ISSN: 0010-1354

Abstract

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This paper deals with homeomorphisms F: X → Y, between Banach spaces X and Y, which are of the form F ( x ) : = F ̃ x ( 2 n + 1 ) where F ̃ : X 2 n + 1 Y is a continuous (2n+1)-linear operator.

How to cite

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Piotr Fijałkowski. "A note on a class of homeomorphisms between Banach spaces." Colloquium Mathematicae 103.2 (2005): 169-172. <http://eudml.org/doc/284162>.

@article{PiotrFijałkowski2005,
abstract = {This paper deals with homeomorphisms F: X → Y, between Banach spaces X and Y, which are of the form $F(x): = F̃x^\{(2n+1)\}$ where $F̃: X^\{2n+1\} → Y$ is a continuous (2n+1)-linear operator.},
author = {Piotr Fijałkowski},
journal = {Colloquium Mathematicae},
keywords = {homeomorphisms between Banach spaces; multilinear operators; invertibility; local invertibility},
language = {eng},
number = {2},
pages = {169-172},
title = {A note on a class of homeomorphisms between Banach spaces},
url = {http://eudml.org/doc/284162},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Piotr Fijałkowski
TI - A note on a class of homeomorphisms between Banach spaces
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 169
EP - 172
AB - This paper deals with homeomorphisms F: X → Y, between Banach spaces X and Y, which are of the form $F(x): = F̃x^{(2n+1)}$ where $F̃: X^{2n+1} → Y$ is a continuous (2n+1)-linear operator.
LA - eng
KW - homeomorphisms between Banach spaces; multilinear operators; invertibility; local invertibility
UR - http://eudml.org/doc/284162
ER -

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