Author | Halmos, Paul R. author |
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Title | A Hilbert Space Problem Book [electronic resource] / by Paul R. Halmos |
Imprint | New York, NY : Springer New York, 1982 |
Edition | Second Edition, Revised and Enlarged |
Connect to | http://dx.doi.org/10.1007/978-1-4684-9330-6 |
Descript | XVIII, 376 p. online resource |
1. Vectors -- 2. Spaces -- 3. Weak Topology -- 4. Analytic Functions -- 5. Infinite Matrices -- 6. Boundedness and Invertibility -- 7. Multiplication Operators -- 8. Operator Matrices -- 9. Properties of Spectra -- 10. Examples of Spectra -- 11. Spectral Radius -- 12. Norm Topology -- 13. Operator Topologies -- 14. Strong Operator Topology -- 15. Partial Isometries -- 16. Polar Decomposition -- 17. Unilateral Shift -- 18. Cyclic Vectors -- 19. Properties of Compactness -- 20. Examples of Compactness -- 21. Subnormal Operators -- 22. Numerical Range -- 23. Unitary Dilations -- 24. Commutators -- 25. Toeplitz Operators -- References -- List of Symbols