Rigidity of commutators and elementary operators on Calkin algebras
β Scribed by Eero Saksman; Hans-Olav Tylli
- Publisher
- The Hebrew University Magnes Press
- Year
- 1998
- Tongue
- English
- Weight
- 911 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Dedicated to A. Uhhnann i n h o r a o e c r of his eixtkth birthday and a. La8m.e~ in hollour of hi8 fiftieth birthday By E. SOHOLZ and W. TIMMEBMANN of Dresden
There are constructed representations of unbounded operator algebras which generalize representations of B ( H ) constructed by J. W. CALKIN and H. BEHNCKE. For a large class of unitary spaces D, each uniformly closed two-sided ideal of the maximal Op\*-algebra L + ( D ) appears as kernel of such a
We show that an algebraic operator on a complex Banach space has reflexive commutant if and only if each zero of the minimal polynomial of the operator is simple. Further, for any operator, the local commutant at an eigenvector is reflexive. On the other hand, for an algebraic operator whose minimal