On the algebra of smooth operators
| Autor: | Ciaś, Tomasz |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fr\'echet algebra L(s',s) of the so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a H\"older continuous functional calculus in this algebra. The key tool is the property (DN) of s. |
| Databáze: | arXiv |
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