فضاهای تابعی و طولپایی ها

{"id":3805402,"title":"فضاهای تابعی و طولپایی ها","price":"۴۲۰‌,‌۰۰۰","ebook_price":"۱۴۰‌,‌۰۰۰","rent_3_price":"۱۰۵‌,‌۰۰۰","rent_6_price":"۱۲۶‌,‌۰۰۰","rent_12_price":"-۱","print_price":"۴۲۰‌,‌۰۰۰","front_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/df74f202fe285e4f/front.jpg","large":"/storage/files/styles/large/books/df74f202fe285e4f/front.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/df74f202fe285e4f/front.jpg","medium":"/storage/files/styles/medium/books/df74f202fe285e4f/front.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/df74f202fe285e4f/front.jpg"},"back_cover":{"thumbnail":"/storage/files/styles/medium/anonymous.jpg","large":"/storage/files/styles/medium/anonymous.jpg","medium_rounded":"/storage/files/styles/medium/anonymous.jpg","medium":"/storage/files/styles/medium/anonymous.jpg","medium_zoom_fit":"/storage/files/styles/medium/anonymous.jpg","medium_trans":"/storage/files/styles/medium/anonymous.jpg"},"file":null,"print_book":0,"isbn":"978-622-396-065-9","lang":null,"cover_type":null,"dimension":null,"year":"۱۴۰۳","nobat_chap":1,"description":["<p class=\"MsoNormal\" style=\"text-align: right; line-height: 150%;\" align=\"right\"><span dir=\"RTL\" lang=\"FA\" style=\"font-family: 'Arial','sans-serif'; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-bidi-language: FA;\">مطالعۀ فضاهای تابعی (بر یک فضای توپولوژیک هاسدورف) و ارتباط بین ساختار جبری آنها و ساختار توپولوژیک فضای زمینه از مسایل<span style=\"mso-spacerun: yes;\"> </span>با قدمت زیاد است. یکی از این ارتباط&zwnj;های مهم به&zwnj;وسیلۀ طولپایی&zwnj;های بیان می&zwnj;شود. به همین جهت م</span><span dir=\"RTL\" lang=\"AR-SA\" style=\"font-family: 'Arial','sans-serif'; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-theme-font: minor-bidi; color: black;\">سیلۀ بررسی طولپایی&zwnj;ها (خطی یا غیرخطی)<span style=\"mso-spacerun: yes;\"> </span>نسبت به نرم&zwnj;های مختلف، از موضوع&zwnj;های مهم در پژوهش&zwnj;های مختلف بوده است. </span>","\r","<p class=\"MsoNormal\" style=\"text-align: right; line-height: 150%;\" align=\"right\"><span dir=\"RTL\" lang=\"FA\" style=\"font-family: 'Arial','sans-serif'; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-bidi-language: FA;\">متذکر <span style=\"text-transform: uppercase;\">می&zwnj;شویم که در</span> مطالعۀ <span style=\"mso-spacerun: yes;\"> </span>طولپایی&zwnj;ها، یا به طور کلی نگاشت&zwnj;های بین فضاهای تابعی که در ویژگی خاصی نسبت به نرم صدق می&zwnj;کنند، مرزها،<span style=\"mso-spacerun: yes;\"> </span>به&zwnj;ویژه<span style=\"mso-spacerun: yes;\"> </span>مرز شوکه و همچنین مجموعۀ نقاط قله یا قلۀ ضعیف<span style=\"mso-spacerun: yes;\"> </span>و ارتباط آنها با یکدیگر،<span style=\"mso-spacerun: yes;\"> </span>از اهمیت بسیاری برخوردار هستند.<span style=\"mso-spacerun: yes;\"> </span></span>","\r","<span dir=\"RTL\" lang=\"FA\" style=\"font-size: 11.0pt; line-height: 107%; font-family: 'Arial','sans-serif'; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: FA;\">دو هدف اصلی در نگارش این کتاب مد نظر بوده است. نخست اینکه ضمن بیان مقدمه مختصری از آنالیز تابعی و جبرهای (تابعی) باناخ، از آنجا که <span style=\"mso-spacerun: yes;\"> </span>منابع محدودی در زمینۀ مرزها برای فضاهای تابعی (و حتی جبرهای تابعی در حالت موضعاً فشرده) وجود دارد، تلاش شده است که منبع مناسبی در زمینۀ نقاط فرین گوی یکۀ دوگان فضاهای تابعی، مرز شوکه، مرز شیلوف، نقاط مرزی قوی و ارتباط آنها با یکدیگر برای فضاهای تابعی بر یک فضای هاسدورف موضعاً فشرده،<span style=\"mso-spacerun: yes;\"> </span>فراهم شود. دوم اینکه نتایج شناخته&zwnj;شده در رابطه با طولپایی&zwnj;های خطی بین فضاهای تابعی خاصی، نسبت به نرم سوپرمم و نرم&zwnj;های دیگر، و نیز بخشی از پژوهش&zwnj;های اخیر<span style=\"mso-spacerun: yes;\"> </span>در رابطه با تعمیم&zwnj;های غیرخطی و همچنین <span style=\"mso-spacerun: yes;\"> </span>ضربی این نتایج، ارایه شود. برای سهولت مطالعه سعی شده است مطالب تا حد امکان باز شده و با بیان ساده ارایه شود.</span>",""],"pages_count":332,"keywords":null,"token":"df74f202fe285e4f","created_at":"2025-03-17 12:19:51","updated_at":"2025-04-05 17:10:01","publisher_id":242,"deleted_at":null,"published_at":"2025-04-05 17:10:01","available_for_web":1,"publisher_title":"دانشگاه تربیت مدرس","edition":null,"currency":"IRR","subtitle":null,"country":"iran","exclusive_rights":null,"not_for_sale":null,"rent_1_week_price":"-۱","meta_desc":null,"meta_title":null,"stock":100,"cache":1,"authors":[{"id":1932390,"title":"دکتر فرشته سعدی","meta_title":"دکتر فرشته سعدی","meta_description":"دکتر فرشته سعدی - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"فرشته سعدی","token":"35237f5d694ca2d5","created_at":"2025-03-17 12:24:12","updated_at":"2025-03-17 12:24:12","national_code":null,"role":"writer"}],"writer_authors":[{"id":1932390,"title":"دکتر فرشته سعدی","meta_title":"دکتر فرشته سعدی","meta_description":"دکتر فرشته سعدی - بوکت، نخستین و بزرگ‌ترین سامانه‌ی یادگیری و آموزش با قابلیت کرایه و خرید نسخه‌ی الکترونیکی کتاب‌های دانشگاهی است ","faq":null,"keywords":"بوکت,کرایه کتاب,کتاب الکترونیک/ نسخه الکترونیک,ئی بوک/ایبوک,مطالعه آنلاین,کتاب تخصصی,کتاب دانشگاهی,دانلود کتاب,خرید کتاب,جستجوی کتاب,خرید کتاب الکترونیک,ناشرشو,چاپ کتاب,چاپ رایگان کتاب,کتاب مهندسی,کتاب پزشکی,کتاب مدیریت,جیتجو در متن کتاب,دانلود اپلیکیشن کتابخوان","description":null,"firstname":"دکتر","lastname":"فرشته سعدی","token":"35237f5d694ca2d5","created_at":"2025-03-17 12:24:12","updated_at":"2025-03-17 12:24:12","national_code":null,"role":"writer"}],"translator_authors":[],"views":0,"e_book":{"id":789350,"file":"67d7e231406759.28566051.pdf","book_id":3805402,"toc":null,"created_at":"2025-03-17 12:19:53","updated_at":"2025-04-05 17:10:01","process_started_at":"2025-03-17 12:19:54","process_done_at":"2025-03-17 12:20:24","process_failed_at":null,"pages_count":332,"version":"ocr.1.2.2","dir":"rtl","password":"bd47268370ddae4c5c09a8c2e7bd6b05f288da94cf8e2a4d5e9a057b4075fc3c51fe1c284b75c057ea84648e426c54260140599cb45466478127537c460f63fd","encrypted_data":null,"state":"converting","pages_count_fa":"۳۳۲"},"publisher":{"id":242,"title":"دانشگاه تربیت مدرس","description":null,"token":"bbd6725522fe055b","slug":"دانشگاه-تربیت-مدرس"},"study_subjects":[],"titleLink":"%D9%81%D8%B6%D8%A7%D9%87%D8%A7%DB%8C-%D8%AA%D8%A7%D8%A8%D8%B9%DB%8C-%D9%88-%D8%B7%D9%88%D9%84%D9%BE%D8%A7%DB%8C%DB%8C-%D9%87%D8%A7","ebook_price_en":140000,"urlify":"%D9%81%D8%B6%D8%A7%D9%87%D8%A7%DB%8C-%D8%AA%D8%A7%D8%A8%D8%B9%DB%8C-%D9%88-%D8%B7%D9%88%D9%84%D9%BE%D8%A7%DB%8C%DB%8C-%D9%87%D8%A7","pages_count_fa":"۳۳۲","authorTitle":"دکتر فرشته سعدی","tocStr":"","url":"/preview/df74f202fe285e4f/%D9%81%D8%B6%D8%A7%D9%87%D8%A7%DB%8C-%D8%AA%D8%A7%D8%A8%D8%B9%DB%8C-%D9%88-%D8%B7%D9%88%D9%84%D9%BE%D8%A7%DB%8C%DB%8C-%D9%87%D8%A7"}

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