Composition operators on Hilbert spaces of entire functions
| Autor: | Alexander V. Abanin, T. I. Abanina |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Unbounded operator
Hilbert manifold Spectral theory Nuclear operator General Mathematics 010102 general mathematics Hilbert space Rigged Hilbert space Operator theory 01 natural sciences Compact operator on Hilbert space Algebra symbols.namesake 0103 physical sciences symbols 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Russian Mathematics. 61:1-4 |
| ISSN: | 1934-810X 1066-369X |
| DOI: | 10.3103/s1066369x17100012 |
| Popis: | We obtain a complete description of families of continuous and compact composition operators on Hilbert spaces of entire functions. These operators were introduced by K. Chan and J. Shapiro for studying some dynamic properties of translation operators. In contrast to recent papers devoted to the same problems, we make no additional assumptions on the mentioned spaces. We apply a new research approach based on the embedding of a Hilbert space under consideration into some appropriate Banach space with the sup-norm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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