Author | Halmos, P. R. author |
---|---|
Title | A Hilbert Space Problem Book [electronic resource] / by P. R. Halmos |
Imprint | New York, NY : Springer US, 1974 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-9976-0 |
Descript | online resource |
Problem -- 1. Vectors and Spaces -- 2. Weak Topology -- 3. Analytic Functions -- 4. Infinite Matrices -- 5. Boundedness and Invertibility -- 6. Multiplication Operators -- 7. Operator Matrices -- 8. Properties of Spectra -- 9. Examples of Spectra -- 10. Spectral Radius -- 11. Norm Topology -- 12. Strong and Weak Topologies -- 13. Partial Isometries -- 14. Unilateral Shift -- 15. Compact Operators -- 16. Subnormal Operators -- 17. Numerical Range -- 18. Unitary Dilations -- 19. Commutators of Operators -- 20. Toeplitz Operators -- Hint -- 1. Vectors and Spaces -- 2. Weak Topology -- 3. Analytic Functions -- 4. Infinite Matrices -- 5. Boundedness and Invertibility -- 6. Multiplication Operators -- 7. Operator Matrices -- 8. Properties of Spectra -- 9. Examples of Spectra -- 10. Spectral Radius -- 11. Norm Topology -- 12. Strong and Weak Topologies -- 13. Partial Isometries -- 14. Unilateral Shift -- 15. Compact Operators -- 16. Subnormal Operators -- 17. Numerical Range -- 18. Unitary Dilations -- 19. Commutators of Operators -- 20. Toeplitz Operators -- Solution -- 1. Vectors and Spaces -- 2. Weak Topology -- 3. Analytic Functions -- 4. Infinite Matrices -- 5. Boundedness and Invertibility -- 6. Multiplication Operators -- 7. Operator Matrices -- 8. Properties of Spectra -- 9. Examples of Spectra -- 10. Spectral Radius -- 11. Norm Topology -- 12. Strong and Weak Topologies -- 13. Partial Isometries -- 14. Unilateral Shift -- 15. Compact Operators -- 16. Subnormal Operators -- 17. Numerical Range -- 18. Unitary Dilations -- 19. Commutators of Operators -- 20. Toeplitz Operators -- References