Recent developments in Functional Analysis witness the emergence of a new paradigm. Formal models seem destined to replace the standard taxonomical and descriptive approaches. In this paper we propose a new representation of the function space as a vector space. After discussing the rationale for the introduction of a formal architecture, we construct the vector space of functions (actions on flows) and individuate in physical and logical laws the ground for its generating vector basis. Finally, we discuss some key and unresolved issues and open several avenues for further research in the exciting and fast moving field of formal modelling of function spaces.
Functional vector space
FANTONI, GUALTIERO;BONACCORSI, ANDREA
2009-01-01
Abstract
Recent developments in Functional Analysis witness the emergence of a new paradigm. Formal models seem destined to replace the standard taxonomical and descriptive approaches. In this paper we propose a new representation of the function space as a vector space. After discussing the rationale for the introduction of a formal architecture, we construct the vector space of functions (actions on flows) and individuate in physical and logical laws the ground for its generating vector basis. Finally, we discuss some key and unresolved issues and open several avenues for further research in the exciting and fast moving field of formal modelling of function spaces.File | Dimensione | Formato | |
---|---|---|---|
Functional vector space.pdf
solo utenti autorizzati
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
970.2 kB
Formato
Adobe PDF
|
970.2 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.