A new proof of theorem of Toeplitz in summability theory (Q1096097)
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scientific article; zbMATH DE number 4030127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of theorem of Toeplitz in summability theory |
scientific article; zbMATH DE number 4030127 |
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A new proof of theorem of Toeplitz in summability theory (English)
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1987
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The famous work of Toeplitz in summability theory gives necessary and sufficient conditions for an infinite matrix \(A=(a_{m,n})\) of real (or complex numbers) numbers to be regular. The original proof is given in Hardy's divergent series. The authors give a new proof of the Toeplitz theorem based on a result of the first author [Bull. Acad. Polon. Sci., Ser. Math. Astron. Phys. 24, 855-859 (1976; Zbl 0342.40004)].
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regular matrix
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Toeplitz theorem
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