Second regularized trace of a differential operator with second order unbounded operator coefficient given in a finite interval

Bakşi, Özlem; Karayel, Serpil; Sezer, Yonca

doi:10.7153/oam-11-50

Second regularized trace of a differential operator with second order unbounded operator coefficient given in a finite interval

Bakşi Ö., Karayel S., Sezer Y.

Operators and Matrices, cilt.11, ss.735-747, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11
Basım Tarihi: 2017
Doi Numarası: 10.7153/oam-11-50
Dergi Adı: Operators and Matrices
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.735-747
Anahtar Kelimeler: Hilbert space, kernel operator, regularized trace, resolvent, spectrum, FORMULA
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, we establish a formula for the second regularized trace of a second order differential operator with unbounded operator coefficient given in a finite interval.