Characterization of Bessel sequences

• Autores: M. Laura Arias, Gustavo Corach, Miriam Pacheco
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 22, Nº 1, 2007, págs. 55-66
• Idioma: inglés
• Títulos paralelos:
  • Caracterización de sucesiones de Bessel
• Enlaces
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• Resumen

  • Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bess(H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {ek}kÎN of H, a bijection aE: Bess(H) ? L(H) can be defined. The aim of this paper is to characterize a-1E (A) for different classes of operators A Í L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.