Operator Theory by Example

1: Hilbert Spaces
2: Diagonal Operators
3: Infinite Matrices
4: Two Multiplication Operators
5: The Unilateral Shift
6: The Cesaro Operator
7: The Volterra Operator
8: Multiplication Operators
9: The Dirichlet Shift
10: The Bergman Shift
11: The Fourier Transform
12: The Hilbert Transform
13: Bishop Operators
14: Operator Matrices
15: Constructions with the Shift Operator
16: Toeplitz Operators
17: Hankel Operators
18: Composition Operators
19: Subnormal Operators
20: The Compressed Shift

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• Análise complexa, variáveis ??complexas
• Análise funcional e transforma
• Topologia algébrica