{"product_id":"smooth-analysis-in-banach-spaces","title":"Smooth Analysis in Banach Spaces","description":"\u003cp\u003eThis book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available?\u003c\/p\u003e \u003cp\u003eThe subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.\u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":57335202906456,"sku":"9783110258981","price":218.86,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9783110258981_2af56039-b9ea-41a2-94fc-553e55018318.jpg?v=1780040749","url":"https:\/\/agendabookshop.com\/products\/smooth-analysis-in-banach-spaces","provider":"Agenda Bookshop","version":"1.0","type":"link"}