设[tex=5.429x1.571]dN+ZbiiEc2FgivmlTSb6y2qhj/H311IB5fEI7yyNsuLlFYfhm2LAEotmjMTo7m69[/tex]，[tex=6.0x1.286]BVcPbsIN+3OOHbYx5hHWypn28nHXXW/U+dTZ3OuH8WFVT0O05qk94SAj2oYtzZec[/tex]是[tex=1.214x1.286]20QncbQTAeRWKN3oimwm8w==[/tex]的[tex=2.429x1.286]UCToS0HwltjpDnACrlc7NQ==[/tex]分解．证明：[tex=2.214x1.286]iUflHCxmWIWD2lQ0YZpKb2dVEp53m2x6dAQpanO/pgU=[/tex]有收敛的子序列[tex=2.214x1.286]iUflHCxmWIWD2lQ0YZpKb2dVEp53m2x6dAQpanO/pgU=[/tex]：若记[tex=5.429x1.571]S8hdDEuDvb7TwN2qlBlWGlZzazbBxFl9QQ54ECJNlE+ftCfIzfgag5QxHsYax3q1[/tex]，则有[tex=2.714x1.286]s8/G9s8o/B6STt6XVJp/Hw==[/tex]是上三角矩阵．