REGULARIZED TRACE ON SEPARABLE BANACH SPACES
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.13, sa.1, ss.143-151, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2023
- Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.143-151
- Anahtar Kelimeler: Adjoint operator, Dual space, Regularized trace formula., Schatten classes
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
If H is a separable Hilbert space, Gul (2008) has shown that a regularized trace formula can be computed on LL2(H; [0;π ]) for a second order differential operator with bounded operator-valued coeffcients, where H is a separable Hilbert space. Kuelbs (1970) has shown that every separable Banach space can be continuously and densely embedded into a separable Hilbert space, while Gill (2016) has used Kuelbs result to show that the dual of a Banach space does not have a unique representation. In this paper, we use the results of Kuelbs and Gill to study the regularized trace formula on L2(B; [0; π]), where B is an arbitrary separable Banach space