{"title":"Jrgen Voigt","description":null,"products":[{"product_id":"course-on-topological-vector-spaces-book-jrgen-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\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","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52654601470225,"sku":"NLS9783030329440","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53037308969233,"sku":"NIN9783030329440","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030329440.jpg?v=1785966548"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-jrgen-voigt.oembed","provider":"World of Books ","version":"1.0","type":"link"}