【摘要】 利用实赋范线性空间E上非零连续线性泛函f,确定了E上半序关系和锥Pf,证明了锥Pf的几个性质,给出了H ilbert空间中Pf的对偶锥的表现形式及由Pf确定的H ilbert投影距离与T hom pson距离.更多还原

【Abstract】 With linear functional f on a real normed linear space, we define ordering and cone P_f on E. Some properties of P_f are proved. The dual cone of P_f and Hilbert projective metric and Thompson metric are given in Hilbert space.更多还原