Perturbation Theory for Linear Operators

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Focusing on spectral theory, this book delves into the completeness of generalized eigenvectors, Riesz bases, and semigroup theory, alongside the Gribov operator in Bargmann space. It addresses recent advancements in perturbed non-self-adjoint operators and their implications for Hilbert and Banach spaces, as well as the asymptotic behavior of eigenvalues. The content is driven by physical applications, including sound radiation and mathematical mechanics, making it a valuable resource for students and researchers in the field.