Operator theory

Bounded linear operators on Banach and Hilbert spaces: spectra, compact and Fredholm operators, shifts and other concrete operators, and eigenvalue inequalities.

• Spectral theory
• Compact and Fredholm operators
• Bounded operators and operator topologies
• Shift, Toeplitz and Hankel operators
• Integral, multiplication and diagonal operators
• Eigenvalue inequalities and perturbation

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