A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive $L^p$ -spaces

preprint2016arXivOpen access

We show that the bilateral shift group on $L^p(\mathbb{R})$ for $p \in (1, \infty) \setminus \{2\}$ provides a counterexample to the inverse generator problem.

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A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive $L^p$ -spaces

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A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive LpL^pLp-spaces

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A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive $L^p$ -spaces