Class-preserving continuation of mesh functions
β Scribed by Yu.I. Mokin
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 788 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0041-5553
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## Abstract Let __T__ be a compact disjointness preserving linear operator from __C__~0~(__X__) into __C__~0~(__Y__), where __X__ and __Y__ are locally compact Hausdorff spaces. We show that __T__ can be represented as a norm convergent countable sum of disjoint rank one operators. More precisely,
We construct a family F F of Frobenius groups having abelian Sylow subgroups Ε½ and non-inner, class-preserving automorphisms. We show that any A-group that is, . a finite solvable group with abelian Sylow subgroups has a sub-quotient belonging to F F provided it has a non-inner, class-preserving aut