Department;
of;
Mathematics,;
Hubei;
Normal;
University,;
Huangshi;
435002,;
China;
LMAM,;
School;
of;
Mathematical;
Sciences,;
Peking;
University,;
Beijing;
100871,;
China;
LMAM,;
School;
of;
Mathematical;
Sciences,;
Peking;
University,;
Beijing;
100871,;
China;
compact; operator,; Gibbs; samplers,; Hilbert; space,; transition; function.;