{"product_id":"9783110391992","title":"Smooth Analysis in Banach Spaces","description":"\u003cp\u003eThis bookis aboutthe 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 treatedherefor 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":47162188300528,"sku":"9783110391992","price":196.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783110391992_p0.jpg?v=1763717335","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783110391992","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}