A counterexample for the Trotter product formula (Q789702)
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scientific article; zbMATH DE number 3846281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample for the Trotter product formula |
scientific article; zbMATH DE number 3846281 |
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A counterexample for the Trotter product formula (English)
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1984
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An example is given of two linear m-accretive operators \(A_ 1\) and \(A_ 2\) whose sum is m-accretive but for which the associated product formulas \([S^{A_ 1}(\frac{t}{n})S^{A_ 2}(\frac{t}{n})]^ n\) and \([(I+\frac{t}{n}A_ 1)^{-1}(I+\frac{t}{n}A_ 2)^{-1}]^ n\) do not converge.
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Trotter product formula
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linear m-accretive operators
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0.9322208
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0.8608434
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0.84519535
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0.8448812
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0.84364724
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0.8364401
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0.83573675
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0.8346465
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