| Autor: |
Baskakov, Anatoly G., Krishtal, Ilya A., Uskova, Natalia B. |
| Rok vydání: |
2020 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jmaa.2020.124473 |
| Popis: |
We describe a closed operator functional calculus in Banach modules over the group algebra $L^1(\mathbb R)$ and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional calculus, which generalizes some of the known results. We also obtain an estimate for the spectrum of a perturbed differential operator in a certain class. |
| Databáze: |
arXiv |
| Externí odkaz: |
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