{"product_id":"weierstrass-stone-bruno-brosowski-9783631465110","title":"Weierstrass-Stone,: The Theorem","description":"The Weierstrass-Stone Theorem is one of the main tools of modern analysis, and several parts of functional analysis would not exist without it. The purpose of this monograph is to present its true nature by proving several increasing generalizations of this theorem, going from the classical case of subalgebras to submodules and to arbitrary subsets of continuous functions over compact spaces. Some closely connected results on uniform approximation which are important for many applications are also presented, namely the Choquet-Deny and the Kakutani Theorems for semi-lattices and for lattices of continuous functions, respectively. The beautiful variation of the Weierstrass-Stone Theorem due to von Neumann is also included with the proof due to R. I. Jewett. The monograph ends with several recent results on uniform approximation of bounded continuous functions over non-compact spaces.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Bruno Brosowski,Joao B. Prolla\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3631465114\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783631465110\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Peter Lang Gmbh, Internationaler Verlag Der W\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/01\/1993\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 130\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback","brand":"Bruno Brosowski","offers":[{"title":"Paperback","offer_id":48450102853887,"sku":"9783631465110","price":65.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5d93ed69-bacb-4f30-b884-9480424f294f.jpg?v=1777266228","url":"https:\/\/www.whiterainbookhouse.com\/products\/weierstrass-stone-bruno-brosowski-9783631465110","provider":"WR Book House","version":"1.0","type":"link"}