A Quantitative Version of the Bishop-Phelps Theorem for Operators in Hilbert Spaces

LI ., Xin, Cheng Cheng, Yun, Bai, Dong · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2012

1 g3,在那里存在 x H 和围住的线性操作员 S:有 S = 的 H H 1 = x 以便 $$\left\|{ Sx_\varepsilon }\right\|= 1, \left\|{ x_\varepsilon - x_0 }\right\|\leqslant \sqrt { 2 \varepsilon }+\sqrt [4 ]{{ 2 \varepsilon }} , \left\|{ S - T }\right\|\leqslant \sqrt { 2 \varepsilon }.$$

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