Asymptotic behavior of the weighted trace of Schrodinger equation with operator coefficient given in n-dimensional space

• Bayramoğlu, Mehmet ^[1] ; Baykal, Oya ^[1]
  1. [1] Yıldız Technical University

     Yıldız Technical University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 1, 1999, págs. 91-106
• Idioma: inglés
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• Resumen

  • We show that an operator formed by Schrodinger differential expression with operator coefficient on separable Hilbert space has a pure discrete spectrum. We also discuss the asymptotic behavior of the weighted trace of this operator.