Some Algebras of unbounded Operators
β Scribed by Robert M. Brooks
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 717 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A general procedure is given to get ideals in algebras of unbounded operators starting with ideals in β¬οΈ(βοΈ). Algebraical and topological properties of ideals obtained in this manner from the wellβknown symmetricallyβnormed ideals S~Ο~(βοΈ) are described.
## Ideals in algebras of unbounded operators. I1 By W. TIMMERMANN of Leipzig (Eingegangen am 12. 5. 1978) This paper is part I1 of the investigations begun in [4]. There two classes of ideals in algebras of unbounded operators were defined: So(%) and M(S,(9), SF(9)), where @ is a symmetric norming
The closure of the set of finite dimensional operators of a+@) with respect to different topologies is oonaidered. The obtained ideals have many properties similar to those of the idcal of completely continuous operatom on ~E B T space. For example, under some appropriate aesumpt.ione all oontinuous
The purpose of this paper is to study when a weight on an O U -algebra M M on a dense subspace D D in a Hilbert space H H is a trace weighted by a positive self-adjoint operator, that is, when there exists a positive self-adjoint operator β