Lokale Darstellungen differenzierbarer Funktionen auf Banachräumen

  • N.A. Tu

    Akademie der Landwirtschaftswissenschaften, Berlin, Germany

Abstract

Local topological properties of differentiable functions on Banach spaces are studied. It will be shown that in the neighborhood of a nondegenerate critial point a certain -function f can be written in the following form:

where is the dimension of some -dimensional subspace, the real numbers are determined by a basis of this subspace and ) is given by a function . The dimension can tend to , while the number does not change.

Cite this article

N.A. Tu, Lokale Darstellungen differenzierbarer Funktionen auf Banachräumen. Z. Anal. Anwend. 6 (1987), no. 2, pp. 97–106

DOI 10.4171/ZAA/233