{"id":4068,"date":"2024-05-08T01:35:27","date_gmt":"2024-05-08T01:35:27","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/mrbracamonte\/?page_id=4068"},"modified":"2025-06-19T23:41:05","modified_gmt":"2025-06-19T23:41:05","slug":"espacios-de-banach","status":"publish","type":"page","link":"https:\/\/blog.espol.edu.ec\/mrbracamonte\/analisis-funcional\/espacios-de-banach\/","title":{"rendered":"Espacios de Banach"},"content":{"rendered":"<p><a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0001.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4644\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0001.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0001.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0001-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4645\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0002.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0002.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0002-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0003.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4646\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0003.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0003.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0003-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0004.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4647\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0004.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0004.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0004-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0005.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4648\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0005.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0005.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0005-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0006.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4649\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0006.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0006.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0006-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0007.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4650\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0007.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0007.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0007-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0008.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4651\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0008.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0008.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0008-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0009.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4652\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0009.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0009.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0009-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0010.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4653\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0010.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0010.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0010-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0011.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4654\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0011.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0011.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0011-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0012.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4655\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0012.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0012.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0012-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0013.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4656\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0013.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0013.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0013-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0014.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4657\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0014.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0014.jpg 1241w, 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src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0016.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0016.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0016-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"https:\/\/youtu.be\/7guZBxc5_8k?si=nICFc1k7CRnQGbi0\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4660\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0017.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0017.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0017-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a 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srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0019.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0019-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0020.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4663\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0020.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0020.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0020-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0021.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4664\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0021.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0021.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0021-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0022.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4665\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0022.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0022.jpg 1241w, 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src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0024.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0024.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/06\/Funcional_2025-4_page-0024-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" 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