Variational principles and eigenvalue estimates for unbounded block operator matrices and applications
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摘要
In this paper we establish variational principles, eigenvalue estimates and asymptotic formulae for eigenvalues of three different classes of unbounded block operator matrices. The results allow to characterise eigenvalues that are not necessarily located at the boundary of the spectrum. Applications to an example from magnetohydrodynamics and to Dirac operators on certain manifolds are given.
论文关键词：primary 49R50,secondary 34L15,34L20,76W05,58J50,Variational principle for eigenvalues,Estimates for eigenvalues,Asymptotic distribution of eigenvalues,Quadratic numerical range,Magnetohydrodynamics,Warped product of spin manifolds,Dirac operator
论文评审过程：Received 20 May 2003, Accepted 19 January 2004, Available online 28 March 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2004.01.024
