A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal α£ and a right ideal J correspond then α£ is the left annihilator of J and J the right annihilator of α£. Another duality is established for two-sided ideals of t
β¦ LIBER β¦
Ideals in the disk algebra
β Scribed by D.A Stegenga
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 176 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0022-1236
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## Abstract Let __H__(__B,Ξ±__) be the JBW^\*^βalgebra of elements of a continuous W^\*^βalgebra __B__ invariant under the ^\*^βantiβautomorphism Ξ± of __B__ of order two. Then the mapping __I__ β __I__ β© __H(B, Ξ±__) is an order isomorphism from the complete lattice of Ξ±βinvariant weak^\*^ closed inn