Spectral Theory of Block Operator Matrices and Applications

Bounded Block Operator Matrices: The Quadratic Numerical Range Spectral Inclusion Estimates of the Resolvent Corners of the Quadratic Numerical Range Schur Complements and Their Factorization Block Diagonalization The Block Numerical Range Numerical Rangs of Operator Polynomials and Block Numerical Ranges Unbounded Block Operator Matrices: Closedness and Closability of Block Operator Matrices Spectrum, Schur Complements and Quadratic Complements Spectral Inclusion Eigenvalues and Variational Principles Solutions of Riccati Equations and Block Diagonalization Applications in Mathematical Physics.

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