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Cubo (Temuco)

versión On-line ISSN 0719-0646

Cubo vol.14 no.2 Temuco  2012 

CUBO A Mathematical Journal Vol.14, No 02, (81-90). June 2012

Texto completo disponíble en formato PDF

An Immediate Derivation of Maximum Principle in Banach spaces, Assuming Reflexive Input and State Spaces.


Paolo d'Alessandro

Department of Mathematics, Third university of Rome.Italy email:


We consider a standard setting for the norm optimal problem in Banach spaces and show that with a simple argument which invokes some appropriately selected powerful general Theorems for Banach spaces a straightforward derivation of the Maximum Principle is obtained.

Keywords and Phrases: Linear Control Systems in Banach Spaces, Norm Optimal Control, Support of Closed Convex Sets


Consideramos una formulación estandar para el problema de norma optimal en espacios de Banach y mostramos que con un argumento simple que invoca algunos fuertes teoremas generales de la teoría de espacios de Banach elegidos apropiadamente se deriva directamente el Principio del Maximo.


2010 AMS Mathematics Subject Classification: 49K20.



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Received: October 2010. Revised: October 2011.

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