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**surfaces2
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\OT1/cmr/bx/n/14.4 Положительные по-то-ки и те-о-ре-ма Хана-Банаха 
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[]\OT1/cmr/m/n/10 Локально вы-пукл-ое то-по-ло-ги-че-ское век-тор-ное про-стран
-
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[]\OT1/cmr/m/n/10 Воспользуйтесь фор-му-лой Кар-та-на: $[][] \OML/cmm/m/it/10 ^
^Q \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 d\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 ^^Q []
 v\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 ^^@ \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 d^^Q
\OT1/cmr/m/n/10 ) [] \OML/cmm/m/it/10 v$
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[]\OT1/cmr/m/n/10 Многообразие Фре-ше -- про-стран-ство, ло-каль-но по-кры-тое 
кар-
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[]\OT1/cmr/m/n/10 Докажите те-о-ре-му Хана-Банаха (вос-поль-зуй-тесь лем-мой Цо
р-
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\OT1/cmr/m/n/10 стве -- это сум-ма ли-ней-но-го функ-ци-о-на-ла и по-сто-ян-но-
го ото-бра-же-ния. Пусть
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[]\OT1/cmr/m/n/10 Пусть $\OML/cmm/m/it/10 M$ \OT1/cmr/m/n/10 - ком-пакт-ная ком
-плекс-ная по-верх-ность, а $\OML/cmm/m/it/10 ^^Q \OMS/cmsy/m/n/10 2 \OML/cmm/m
/it/10 H[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 M\OT1/cmr/m/n/10 )$
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[]\OT1/cmr/m/n/10 Такие ото-бра-же-ния на-зы-ва-ют-ся \OT1/cmr/bx/n/10 эл-ли-пт
и-че-ски-ми сло-
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