• Aucun résultat trouvé

First vector spaces of functions

N/A
N/A
Protected

Academic year: 2022

Partager "First vector spaces of functions"

Copied!
6
0
0

Texte intégral

(1)

Proceedings Chapter

Reference

First vector spaces of functions

DORIER, Jean-Luc

Abstract

This communication investigates how the notion of vector space of functions gradually became vital in analysis, roughly between 1880 and 1930. We will show how, in spite of some early formal approaches, linear problems in infinite dimension remained long dependent on the analogy with finite dimensional theory, which was still dominated by the theory of determinants. Subsequently, we will see how, on one side, the study of the Fredohlm equation, especially Hilbert's work, and on the other side topological considerations, led, through successive processes of generalisation to the need for an axiomatical approach.

DORIER, Jean-Luc. First vector spaces of functions. In: M. J. Lagarto, A. Vieira & E. Veloso.

História e Educação Matemática: Proceedings: ICME-8 stellite meeting of the International Study Group on the Relations Between History and Pedagogy of Mathematics - Vol. 2 . Braga (Portugal) : Associaçao de Professores de Matematica - Depatamento de Matematica da Universidade do Minho, 1996. p. 238-245

Available at:

http://archive-ouverte.unige.ch/unige:16882

Disclaimer: layout of this document may differ from the published version.

1 / 1

(2)
(3)
(4)
(5)
(6)

Références

Documents relatifs

Several fUither (I thlnk) interesting problems are stated in OUI papers but I have to refer to them [11]. To end the paper I state a few more old problems of mine. I

Dans le cadre général d'un groupe algébrique commutatif, toutes les mesures d'indépen- dance linéaire de logarithmes, obtenues jusqu'à maintenant, ont leur schéma de

In this paper we consider linear operators between vector spaces with vector norm and we give in particular some results concerning the (v)-continuous operators.. The terminology

Since then, they have always been closely related to semi-simple Lie groups; indeed, there is a dictionary between semi-simple Lie groups with finite center and without compact

It is important to note that the polari- ton density on the equator of the defect is generally a bit lower than its asymptotic value in the pumped region far upstream: the appearance

Schur property on vector-valued Lipschitz-free spaces According to [9], a Banach space X is said to have the Schur property whenever every weakly null sequence is actually a norm

In this paper it is esta- blished that the spaces of linear functionals on dual spaces are dual spaces and that the space of linear functionals on a self-dual space is self-dual and

maximal and minimal) on more specialised classes of Lie algebras, with particular regard to locally nilpotent Lie algebras.. Application