{"product_id":"locally-convex-cones-a-generalization-of-locally-convex-topological-vector-spaces-paperback","title":"Locally Convex Cones: A Generalization of Locally Convex Topological Vector Spaces - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eWalter Roth\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eLocally convex cones were proposed for applications in approximation theory but have matured into a mathematical theory. The aim of this book is to offer a coherent presentation of its basic principles and later developments and to establish a consistent reference source.\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThe build of the theory is modelled after the cone of convex subsets of a locally convex vector space. It does not satisfy the cancellation law and cannot be embedded into a vector space. The topology of the vector space leads to the definition of three cone topologies. Similar settings occur in integration theory, potential theory, and other mathematical areas. Locally convex topological vector spaces are special cases of locally convex cones.\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eSome of the notions for locally convex cones remain close to those for topological vector spaces. The dual cone consists of all continuous linear functionals that can take infinite values. This yields a rich duality theory, including Hahn-Banach type extension and separation theorems. Other concepts, such as boundedness and connectedness, extend into different territories. This book serves as a primer for students and a reference tool for researchers.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWalter Roth is a retired professor of mathematics. He was formerly at TU Darmstadt, UC Berkeley, Tongji University Shanghai, the University of Bahrain and the University of Brunei Darussalam\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 442\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 01, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":48902599803129,"sku":"9783112232101","price":95.02,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/bZMOEX16ZC9783112232101.webp?v=1787766764","url":"https:\/\/bookscloud.io\/products\/locally-convex-cones-a-generalization-of-locally-convex-topological-vector-spaces-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}