{"product_id":"on-range-space-techniques-convex-paolo-dalessandro-9783031924767","title":"On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions","description":"This 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:  A Conical Approach to Linear Programming, Scalar and Vector Optimization  Problems, Gordon and Breach Science Publishers, Amsterdam, 1997.  It 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Paolo D'Alessandro\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031924762\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031924767\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/12\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 475\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.89lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.06d","brand":"Paolo D'Alessandro","offers":[{"title":"Hardcover","offer_id":48486773948671,"sku":"9783031924767","price":199.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_4adbe526-521c-45ec-a827-4f378406f827.jpg?v=1778056633","url":"https:\/\/www.whiterainbookhouse.com\/products\/on-range-space-techniques-convex-paolo-dalessandro-9783031924767","provider":"WR Book House","version":"1.0","type":"link"}