Asymptotic formula for the sum of eigenvalues of fourth order differential operator on Banach space

BAKŞİ Ö., SEZER Y.

Filomat, vol.38, no.17, pp.6059-6086, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 17
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2417059b
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6059-6086
  • Keywords: dense embedding, Separable Banach space; trace class operator, spectrum
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, we derive a trace formula for self adjoint fourth order differential operator with bounded operator coefficient in the separable Banach space. Compared with the regularized trace problems studied in Hilbert space, the fact that the asymptotic formulas obtained are on Banach space is an important result of the theoretical setting which we considered.