On defining S-spaces

Autori

  • Francesco Strati Academy of Advanced Scientific Studies (AASS), Reggio Calabria

DOI:

https://doi.org/10.1478/AAPP.91S2B2

Parole chiave:

Schwartz spaces, Generalized functions, Distribution spaces, Topological vector spaces, S-Linear Algebra

Abstract

The present work is intended to be an introduction to the Superposition Theory of David Carfì. In particular I shall depict the meaning of his brand new theory, on the one hand in an informal fashion and on the other hand by giving a formal approach of the algebraic structure of the theory: the S-linear algebra. This kind of structure underpins the notion of S-spaces (or Carfì-spaces) by defining both its properties and its nature. Thus I shall define the S-triple as the fundamental principle upon which the S-linear algebra is built up.

Pubblicato

2013-05-30

Fascicolo

Sezione

PISRS: Mathematics in Economics and Finance