泛函分析讲义 (第二版) (上)VIP免费

对应到存在唯一蕴含证毕、述毕一切，任一个全体正整数全体整数n维Euclid空间全体复数符号表存在，某一个几乎处处数域实数或复数正无穷大或复平面上的无穷远点向量空间的零元素以x。为中心，以r为半径的开球集合E的内点全体H1-1一对一右端是左端的定义当且仅当r，。e叫一：．n厌匣（�0000aNZC底/),vm25Brouwer与Schauder不动点定理··7476正交化与Hilbert空间的同构·················再论最佳逼近问题························目录第一章度量空间...........................................................................1§1压缩映射原理...................................................................1§2完备化.......································11§3列紧集·························································15§4赋范线性空间·················································23·····················234.24.3范数与Banach空间·············································304.44.54.64.7商空间·································································44§5凸集与不动点·················································50···········505.25.3应用······································································59§6内积空间·······················································61···················626.2正交与正交基··························································686.36.4第二章··················80···············86§1线性算子的概念·············································861.11.2线性空间上的距离·····················赋范线性空间上的范数等价··················应用：最佳逼近问题·······················有穷维B*空间的刻画·····················3539······56·····86共扼空间、弱收敛、自反空间...........······145弱收敛及＊弱收敛························162弱列紧性与＊弱列紧性.............5.4···············....214····216不变子空间.......................§4线性泛函的延拓定理122凸集分离定理·················130几何形式——§2Riesz表示定理及其应用········································92·····1023.1纲与纲推理··························································102··········1063.3闭图像定理······························································112·················1143.5应用........................116··············1224.14.2···············1375.1共辄空间的表示及应用........············1455.2共辄算子.............................·1565.3······1675了弱收敛的例子...........···...