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

BAKŞİ Ö., SEZER Y.

Filomat, cilt.38, sa.17, ss.6059-6086, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 17
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2417059b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6059-6086
  • Anahtar Kelimeler: dense embedding, Separable Banach space; trace class operator, spectrum
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.