{"product_id":"9783031924767","title":"On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions","description":"\u003ch1\u003eOn Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions\u003c\/h1\u003e \u003ch2\u003ed'Alessandro, Paolo\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"font-size: 10.0pt; line-height: 107%;\"\u003eThis book is a research monograph with specialized mathematical preliminaries. It presents an original range space and conic theory of infinite dimensional polyhedra (closed convex sets) and optimization over polyhedra in separable Hilbert spaces, providing, in infinite dimensions, a continuation of the author's book: \u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"font-size: 10.0pt; line-height: 107%;\"\u003eA Conical Approach to Linear Programming, Scalar and Vector Optimization \u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"font-size: 10.0pt; line-height: 107%;\"\u003eProblems, Gordon and Breach Science Publishers, Amsterdam, 1997. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"font-size: 10.0pt; line-height: 107%;\"\u003eIt expands and improves author's new approach to the Maximum Priciple for norm oprimal control of PDE, based on theory of convex cones, providing shaper results in various Hilbert space and Banach space settings. It provides a theory for convex hypersurfaces in lts and Hilbert spaces. For these purposes, it introduces new results and concepts, like the generalizations to the non compact case of cone capping and of the Krein Milman Theorem, an extended theory of closure of pointed cones, the notion of beacon points, and a necessary and sufficient condition of support for void interior closed convex set (complementing the Bishop Phelps Theorem), based on a new decomposition of non closed non pointed cones with non closed lineality space.\u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-08-12\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031924767\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-92477-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 475\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44309897609356,"sku":"9783031924767","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031924767.jpg?v=1779653954","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031924767","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}