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涓€銆佽│鍗风祼(ji茅)妲�(g貌u)
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娉涘嚱鍒嗘瀽 100%
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b: 濉┖椤岋紝 20 鍒�
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浜�銆佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
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鑰冭│鍏�(n猫i)瀹�
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鑰冭│瑕佹眰
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璩﹁寖绌洪枔涓婅寖鏁�(sh霉)鐨勭瓑鍍�(ji脿)鎬э紱鐔熸倝鏌愪簺甯歌(ji脿n) Banach 绌洪枔涓父鐢ㄧ殑鑼冩暩(sh霉)鐨勫畾缇�銆�
2銆佹湁鐣岀窔鎬х畻瀛愯垏閫ｇ簩(x霉)绶氭€ф硾鍑�
鑰冭│鍏�(n猫i)瀹�
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绌洪枔锛屾煇浜涘父瑕�(ji脿n) Banach 绌洪枔鐨勫叡杌涚┖闁撱€�
鑰冭│瑕佹眰
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閫ｇ簩(x霉)绶氭€ф硾鍑界殑鑼冩暩(sh霉)锛涚悊瑙ｇ窔鎬х畻瀛愮殑閫ｇ簩(x霉)鎬у拰鏈夌晫鎬�锛岀啛鎮夌畻瀛愮┖闁�銆佸叡杌涳紙灏�(du矛)
鍋讹級绌洪枔鐨勫熀鏈€ц唱(zh矛)鍜屾煇浜涘父瑕�(ji脿n) Banach 绌洪枔鐨勫叡杌涚┖闁�銆�
3銆丠ilbert 绌洪枔
鑰冭│鍏�(n猫i)瀹�
鍏�(n猫i)绌嶇┖闁撶殑鍩烘湰姒傚康鑸囧熀鏈€ц唱(zh矛)銆佸咕浣曠壒寰�銆佹浜ょ郴銆佹瑕�(gu墨)姝ｄ氦鍩�銆佹浜ゅ寲锛�
Hilbert 绌洪枔鐨勫悓妲�(g貌u)锛屽皠褰卞畾鐞�銆丠ilbert 绌洪枔涓婄殑 Riesz 琛ㄧず瀹氱悊銆�
鑰冭│瑕佹眰
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绀哄畾鐞�銆�
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鑰冭│鍏�(n猫i)瀹�
Hahn-Banach 寤舵嫇瀹氱悊鍙婂叾鎺ㄨ珫锛孯iesz 琛ㄧず瀹氱悊鍙婃噳(y墨ng)鐢�锛屽叡杌涚畻瀛愬強鍏舵€�
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寤舵嫇瀹氱悊銆佺涓€銆佺浜岀侗鐨勯泦锛涗簡瑙ｅ急鏀舵杺鍜屽急? 鏀舵杺銆�
鏁欐潗鍙婁富瑕佸弮鑰冩浉(sh奴)锛�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
