{"product_id":"course-on-topological-vector-spaces-9783030329457","title":"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 L1-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.  The 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","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52915579027735,"sku":null,"price":4452.9,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030329457.jpg?v=1781527268","url":"https:\/\/payment.letskitaboo.com\/ur\/products\/course-on-topological-vector-spaces-9783030329457","provider":"Kitaboo One eStore","version":"1.0","type":"link"}