Binet’s formula for operator-valued recursive sequences and the operator moment problem

• A. Ech-charyfy ^[1] ; Allal Ghanmi ^[1] ; K. Idrissi ^[1] ; A. Salhi ^[2]
  1. [1] Laboratory of Mathematical Analysis and Applications, Faculty of Sciences Mohammed V University in Rabat, Morocco
  2. [2] Department of Mathematics, École Normale Supérieure Mohammed V University in Rabat, Morocco
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 40, Nº 2, 2025, págs. 181-195
• Idioma: inglés
• DOI: 10.17398/2605-5686.40.2.181
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• Resumen

  • We derive a Binet-type formula for operator-valued sequences satisfying linear recurrence relations, extending the classical scalar case to the setting of bounded operators on Hilbert spaces. In this framework, we analyze the operator moment problem as an application, establishing new connections between recursive operator sequences and moment sequences.

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