{"id":4109,"date":"2024-05-24T20:44:36","date_gmt":"2024-05-24T20:44:36","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/mrbracamonte\/?page_id=4109"},"modified":"2025-05-31T11:09:09","modified_gmt":"2025-05-31T11:09:09","slug":"operadores-lineales","status":"publish","type":"page","link":"https:\/\/blog.espol.edu.ec\/mrbracamonte\/analisis-funcional\/operadores-lineales\/","title":{"rendered":"Operadores lineales"},"content":{"rendered":"<p><a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0001.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4560\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0001.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0001.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0001-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4561\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0002.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0002.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0002-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0003.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4562\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0003.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0003.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0003-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0004.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4563\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0004.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0004.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0004-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0005.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4564\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0005.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0005.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0005-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0006.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4565\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0006.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0006.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0006-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0007.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4566\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0007.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0007.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0007-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0008.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4567\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0008.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0008.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0008-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0009.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4568\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0009.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0009.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0009-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 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src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0016.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0016.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0016-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0017.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4576\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0017.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0017.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0017-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 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loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4580\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0021.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0021.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0021-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0022.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4581\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0022.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0022.jpg 1241w, 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src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0024.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0024.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0024-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" \/><\/a> <a href=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0025.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4584\" src=\"http:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0025.jpg\" alt=\"\" width=\"1241\" height=\"1754\" srcset=\"https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0025.jpg 1241w, https:\/\/blog.espol.edu.ec\/mrbracamonte\/files\/2025\/05\/Funcional_2025-10_page-0025-768x1085.jpg 768w\" sizes=\"auto, (max-width: 1241px) 100vw, 1241px\" 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