【摘要】 设H是一个Hilbert空间.B(H)表示所有H到H的有界线性算子构成的Banach空间.设T={f(z):f(z)=zI-sum from n=2 to∞z~n A_n在单位圆盘|z|<1上解析,其中系数A_n是H到H的紧正Hermitian算子,I表示H上的恒等算子,sum from n=2 to∞n(A_nx,x)≤1对所有x∈H,‖x‖=1成立}.该文研究了函数族T的极值点.更多还原

【Abstract】 Abstract:Let H be a Hilbert space.B(H) denotes the Banach space of all bounded linear operators of H into H.Let T = {f(z):f(z) = zI - fi znAn is analytic on the unit disk n=2 Izl < 1,where the coefficients An are compact positive Hermitian operators of H into H and I denotes the identity operator on H,~ n(Anx,x) ≤1 for any n:2 paper the author investigates the extreme points of x C H with Ilxll = 1}.In this更多还原