{"id":4864,"date":"2025-07-17T11:08:20","date_gmt":"2025-07-17T11:08:20","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/mrbracamonte\/?page_id=4864"},"modified":"2025-08-01T00:15:36","modified_gmt":"2025-08-01T00:15:36","slug":"teorema-de-hahn-banach","status":"publish","type":"page","link":"https:\/\/blog.espol.edu.ec\/mrbracamonte\/analisis-funcional\/teorema-de-hahn-banach\/","title":{"rendered":"Teorema de Hahn-Banach"},"content":{"rendered":"<p><a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0001.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5033\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0001.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0001.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0001-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5034\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0002.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0002.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0002-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0003.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5035\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0003.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0003.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0003-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0004.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5036\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0004.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0004.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0004-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0005.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5037\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0005.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0005.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0005-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0006.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5038\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0006.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0006.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0006-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0007.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5039\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0007.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0007.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0007-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0008.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5040\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0008.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0008.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0008-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0009.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5041\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0009.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0009.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0009-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0010.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5042\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0010.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0010.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0010-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0011.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5043\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0011.jpg\" alt=\"\" width=\"1241\" height=\"1754\" 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src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0016.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0016.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0016-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0017.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5049\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0017.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0017.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/08\/Funcional_2025-13_page-0017-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 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