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.
Keywords
Mathematics
Eigenvalues and eigenvectors
Banach space
Differential operator
Order (exchange)
Operator (biology)
Spectrum (functional analysis)
Mathematical analysis
C0-semigroup
Pure mathematics
Quantum mechanics
Subject Areas
Spectral Theory in Mathematical Physics
·Mathematical Physics ·Physical Sciences
Differential Equations and Boundary Problems
·Applied Mathematics ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
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