Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum
We consider a bounded linear operator A in a Hilbert space with a Hilbert-Schmidt Hermitian component (A − A*)/2i. A sharp norm estimate is established for functions of A nonregular on the convex hull of the spectrum. The logarithm, fractional powers and meromorphic functions of operators are exampl...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-10-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0026/dema-2017-0026.xml?format=INT |