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The first measurements of the polarized structure function $\sigma_{LT'}$ forthe reaction $p(\vec e,e'K^+)\Lambda$ in the nucleon resonance region arereported. Measurements are included from threshold up to $W$=2.05 GeV forcentral values of $Q^2$ of 0.65 and 1.00 GeV$^2$, and nearly the entire kaoncenter-of-mass angular range. $\sigma_{LT'}$ is the imaginary part of thelongitudinal-transverse response and is expected to be sensitive tointerferences between competing intermediate s-channel resonances, as well asresonant and non-resonant processes. The results for $\sigma_{LT'}$ arecomparable in magnitude to previously reported results from CLAS for$\sigma_{LT}$, the real part of the same response. An intriguing sign change in$\sigma_{LT'}$ is observed in the high $Q^2$ data at $W\approx 1.9$ GeV.Comparisons to several existing model predictions are shown.

Polarized Structure Function $\sigma_{LT'}$ for $p({\vec e},e'K^+)\Lambda$ in the Nucleon Resonance Region