{"product_id":"a-course-on-topological-vector-jzrgen-voigt-9783030329440","title":"A Course on Topological Vector Spaces","description":"\u003cp\u003eThis book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in\u003ci\u003e L\u003c\/i\u003e\u003csub\u003e1\u003c\/sub\u003e-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. \u003c\/p\u003e \u003cp\u003eThe book adopts an \"economic\" approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians. \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jürgen Voigt\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030329445\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030329440\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/07\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 155\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.53lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.35d","brand":"Jürgen Voigt","offers":[{"title":"Paperback","offer_id":48089062572287,"sku":"9783030329440","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5c5d9426-0455-46d9-bac5-c615c0df9625.jpg?v=1769107990","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-course-on-topological-vector-jzrgen-voigt-9783030329440","provider":"WR Book House","version":"1.0","type":"link"}