Transfer theorems for the similarity of infinite matrices (Q1913914)
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scientific article; zbMATH DE number 883564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transfer theorems for the similarity of infinite matrices |
scientific article; zbMATH DE number 883564 |
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Transfer theorems for the similarity of infinite matrices (English)
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2 June 1996
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An rcf-matrix (where rcf stands for row-column-finite) is an infinite matrix where each row and each column contains only finitely nonzero elements. By using compactness arguments of a model-theoretic character, a transfer theorem is proved about the solvability of a system of linear equations and polynomial inequalities over an uncountable field. Results on the similarity of sets or rcf-matrices over uncountable fields are also given.
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rcf-matrix
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row-column-finite
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infinite matrix
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transfer theorem
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linear equations
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polynomial inequalities
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uncountable field
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similarity
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