Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592126 | Journal of Functional Analysis | 2007 | 16 Pages |
Abstract
Let L be an m-symmetric Markov generator and μ a signed measure in the Kato class. We consider a Schrödinger type operator Hμ=−L+μ on Lp(m). We prove that under certain conditions for the Markov semigroup generated by L and the potential μ, the Lp-spectral bound of Hμ is independent of p if and only if the L2-spectral bound is non-positive.
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