Spectral Theory and Applications of Linear Operators and Block Operator Matrices

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Focusing on Fredholm operators and spectral theory, this volume rigorously explores recent mathematical advancements, particularly in polynomially-compact operators. It connects abstract concepts to practical applications, emphasizing their significance in the stability of physical systems and various mathematical fields. The text delves into classical Riesz theory, aiming to provide existence results for second kind operator equations, ultimately aiding readers in understanding the spectrum, eigenvalue multiplicities, and localization of these operators.