{"product_id":"the-fundamentals-of-banach-space-theory-von-yongjin-li","title":"The Fundamentals of Banach Space Theory","description":"\u003cp\u003eThe Fundamentals of Banach Space Theory: A Primer for Advanced Students\u003c\/p\u003e\u003cp\u003eThis book provides a streamlined introduction to Banach space theory, a central component of functional analysis. Stemming from Stefan Banach's seminal 1932 publication, \"\"Linear Operator Theory,\"\" this discipline has expanded significantly, influencing fields such as probability theory and harmonic analysis.\u003c\/p\u003e\u003cp\u003eImportant discussions in the book include reflexive Banach spaces, known for their beneficial structural properties, and uniformly convex Banach spaces, initially studied by Clarkson in relation to the Radon-Nikodym theorem. The challenges associated with quasi-Banach spaces, particularly due to the limitations of the Hahn-Banach theorem, are also explored.\u003c\/p\u003e\u003cp\u003eAdditionally, the text examines the progress in Banach algebras and the fascinating domain of non-Archimedean Banach spaces, which are ripe for future research.\u003c\/p\u003e\u003cp\u003eTargeted at advanced undergraduate and graduate students, this book is designed to serve as both an academic textbook and a primer, facilitating a swift immersion into the essentials of Banach space theory and inspiring further study.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789999317801\"\u003e\u003ch3\u003eA Primer for Advanced Students\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9789999317801","offer_id":54228258685253,"sku":"9789999317801","price":54.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/df0aca1b-715b-4f39-986d-f2336fe6ac9d.jpg?v=1775971920","url":"https:\/\/shop.autorenwelt.de\/products\/the-fundamentals-of-banach-space-theory-von-yongjin-li","provider":"Autorenwelt Shop","version":"1.0","type":"link"}