Perturbation Bounds on the Norm of Generlized Commutators
碩士 === 東海大學 === 數學系 === 96 === In this thesis we consider the commutator [[[f(A),X],X],...,X], where f is a smooth function on the space of bounded operators in a Hilbert space. We obtain formulas for the (nth order) commutator in terms of the Fréchet derivatives D^{m}f(A) (1<=m<=n). And we al...
| Main Authors: | , |
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| Format: | Others |
| Language: | en_US |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/18382444912399438876 |