{"product_id":"a-course-on-topological-vector-spaces-von-jurgen-voigt","title":"A Course on Topological Vector Spaces","description":"\n                                \n                \u003cp\u003e\n                                        This 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\n                    \n                    \u003ci\u003e L\u003c\/i\u003e\n                                        \n                    \u003csub\u003e1\u003c\/sub\u003e\n                                        -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. \n                \n                \u003c\/p\u003e\n                                \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                \n                \u003cp\u003e \u003c\/p\u003e\n                                \n                \u003cbr\u003e\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030329440\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783030329440","offer_id":39424173834333,"sku":"9783030329440","price":40.65,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4f656ae9-0528-49c4-96d7-cd082a0eb490.jpg?v=1772085103","url":"https:\/\/shop.autorenwelt.de\/en\/products\/a-course-on-topological-vector-spaces-von-jurgen-voigt","provider":"Autorenwelt Shop","version":"1.0","type":"link"}