{"product_id":"9783030329440","title":"Compact Textbooks in Mathematics","description":"\u003ch1\u003eCompact Textbooks in Mathematics\u003c\/h1\u003e \u003ch2\u003eVoigt, Jürgen\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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\n\n\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\n\n\u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2020-03-07\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030329440\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-32945-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 155\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44807106232460,"sku":"9783030329440","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030329440.jpg?v=1775824147","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030329440","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}