Open Access
2014 DIFFERENTIABILITY PROPERTIES OF ${\ell}$-STABLE VECTOR FUNCTIONS IN INFINITE-DIMENSIONAL NORMED SPACES
Karel Pastor
Taiwanese J. Math. 18(1): 187-197 (2014). DOI: 10.11650/tjm.18.2014.2605

Abstract

The aim of this paper is to continue the study of properties of an $\ell$-stable at a point vector function. We show that any $\ell$-stable at a point function from arbitrary normed linear space is strictly differentiable at the considered point.

Citation

Download Citation

Karel Pastor. "DIFFERENTIABILITY PROPERTIES OF ${\ell}$-STABLE VECTOR FUNCTIONS IN INFINITE-DIMENSIONAL NORMED SPACES." Taiwanese J. Math. 18 (1) 187 - 197, 2014. https://doi.org/10.11650/tjm.18.2014.2605

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.49057
MathSciNet: MR3162119
Digital Object Identifier: 10.11650/tjm.18.2014.2605

Subjects:
Primary: 26B05 , 49K10

Keywords: $\ell$-stable function , $C^{1,1}$-function , Asplund space , Radon-Nikodým property

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 1 • 2014
Back to Top