Discrete almost periodic operators

• Alexander Pankov ^[1]
  1. [1] Morgan State University

     Morgan State University

     Estados Unidos

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 15, Nº. 1, 2013, págs. 171-189
• Idioma: inglés
• DOI: 10.4067/S0719-06462013000100012
• Enlaces
  • Texto completo
• Resumen
  • español

    Este trabajo trata de operadores lineales discretos casi periódicos en el espacio de las secuencias acotadas. Estudiamos la invertibilidad de dichos operadores en ese espacio, así como en el espacio de secuencias casi periódicas. Uno de los resultados principales es una versión discreta del conocido Primer Teorema de Favard, y se basa en la noción de la envolvente de un operador casi periódico. Otro resultado se restringe a los operadores de orden finito. Se caracteriza la invertibilidad solamente en términos del operador en cuestión.

  • English

    This paper deals with discrete almost periodic linear operators in the space of bounded sequences. We study the invertibility of such operators in that space, as well as in the space of almost periodic sequences. One of main results is a discrete version of wellknown First Favard Theorem, and is based on the notion of the envelope of an almost periodic operator. Another result is restricted to finite order operators. It characterizes the invertibility in therms of the operator in question only.

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