Lp-independence of spectral bounds of Schrödinger type semigroups

Masayoshi Takeda

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)550-565
Number of pages16
JournalJournal of Functional Analysis
Volume252
Issue number2
DOIs
Publication statusPublished - 2007 Nov 15

Keywords

  • Dirichlet form
  • Feynman-Kac formula
  • Large deviation
  • Schrödinger semigroup
  • Spectral bound

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'L<sup>p</sup>-independence of spectral bounds of Schrödinger type semigroups'. Together they form a unique fingerprint.

Cite this