The second regularized trace of even order differential operators with operator coefficient
Filomat, Tome 36 (2022) no. 4, p. 1069
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In this paper, we investigate the spectrum of the self adjoint operator L defined by L := (−1) r d 2r dx 2r + A + Q(x), where A is a self adjoint operator, Q(x) is a nuclear operator in a separable Hilbert space, and we derive asymptotic formulas for the sum of eigenvalues of the operator L
Classification :
47A10, 34L20
Keywords: Nuclear operator, Regularized trace, Compact operator
Keywords: Nuclear operator, Regularized trace, Compact operator
Özlem Baksia; Yonca Sezer. The second regularized trace of even order differential operators with operator coefficient. Filomat, Tome 36 (2022) no. 4, p. 1069 . doi: 10.2298/FIL2204069B
@article{10_2298_FIL2204069B,
author = {\"Ozlem Baksia and Yonca Sezer},
title = {The second regularized trace of even order differential operators with operator coefficient},
journal = {Filomat},
pages = {1069 },
year = {2022},
volume = {36},
number = {4},
doi = {10.2298/FIL2204069B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204069B/}
}
TY - JOUR AU - Özlem Baksia AU - Yonca Sezer TI - The second regularized trace of even order differential operators with operator coefficient JO - Filomat PY - 2022 SP - 1069 VL - 36 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2204069B/ DO - 10.2298/FIL2204069B LA - en ID - 10_2298_FIL2204069B ER -
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