Spectral gap of positive operators and applications

作者： Fuzhou Gong , Liming Wu

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摘要: Abstract We give a characterization of the existence spectral gap near radius positive operator in L p . This result is applicable for Feynman–Kac semigroups and Girsanov semigroups. Especially, it allows us to obtain several infinite dimensional operators on Euclidean quantum fields loop spaces.