Some remarks on disjointness preserving operators
β Scribed by C. B. Huijsmans; B. Pagter
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 264 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0167-8019
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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,
show that the streaming operator in particle transport problems and in population dynamics is densely defined, even if the boundary conditions are not the standard nonreentry boundary conditions.
Bo n B , be an operator satisfying some conditions such as continuity, estimates etc. in terms of the norms of A j , Bj ( j = 0, 1). We consider the question which one of these properties is inherited to T when A , n A, and E , n B, are equipped with the norm of A, and B,. 0. \* Furthermore, let D,