The integral representation of a class of operators by means of vector measures (Q1084647)
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scientific article; zbMATH DE number 3979839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The integral representation of a class of operators by means of vector measures |
scientific article; zbMATH DE number 3979839 |
Statements
The integral representation of a class of operators by means of vector measures (English)
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1986
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Let A be a set and let B denote the Boolean algebra of projections of a K-space Y. The author obtains an isometric isomorphism between a certain space of linear operators from \(\ell^{\infty}(A,Y)\) into Y and the space of extensional measures on the set \(B^ A\).
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Boolean algebra of projections of a K-space
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isometric isomorphism
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space of linear operators
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space of extensional measures
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