Some non-spectral DT-operators in finite von Neumann algebras
| Autor: | Dykema, Ken, Krishnaswamy-Usha, Amudhan |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | Given a DT-operator $Z$ whose Brown measure is radially symmetric and has a certain concentration property, it is shown that $Z$ is not spectral in the sense of Dunford. This is accomplished by showing that the angles between certain complementary Haagerup-Schultz projections of $Z$ are zero. New estimates on norms and traces of powers of algebra-valued circular operators over commutative C$^*$-algebras are also proved. Comment: 18 pages, version 2 fixes some minor mistakes and adds some clarifying remarks |
| Databáze: | arXiv |
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