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Can I read Multiplicative Representation of Disjointness Preserving Operators on EtoBox?
Multiplicative Representation of Disjointness Preserving Operators by Yuri A. Abramovich is a Mathematics article available to read on EtoBox.
What is Multiplicative Representation of Disjointness Preserving Operators about?
Let Xand Y be vector lattices and let T : X+ Y be a disjointness preserving linear operator, i.e., ITx~jAlT.x,l=O if lxriAlx2J =O; xr,xzoX. Necessary and sufficient conditions are obtained under which T can be written as a multiplication, i.e., where r is a continuous mapping from a topological space on which Ycan be represented as a vector lattice of extended real valued continuous functions into a topological space on which X can be similarly represented. If X and Y are normed lattices and T is continuous, these conditions are satisfied and hence T can be represented as such a multiplication. With the author's permission, several remarks made by C.B. Huijsmans and B. de Pagter are incorporated in the text.
Who reads Multiplicative Representation of Disjointness Preserving Operators?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yuri A. Abramovich
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 1385-7258)
- Published
- 1983
- Language
- EN
- Field
- Mathematics (Physical Sciences)