Name: On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions
SKU: 64766143
Price: 5826.00 TWD
Availability: InStock
Author: Paolo d'Alessandro
ISBN: 9783031924767

portada On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions

On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions

Type

Physical Book

Publisher

Springer International Publishing AG

Author

Paolo d'Alessandro

Year

2025

Pages

475

Format

Hardcover

Dimensions

23.5x15.5 cm

ISBN13

9783031924767

On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions

Paolo D'alessandro (Author) · Springer International Publishing AG · Hardcover

Cheaper New Book Imported to Taiwan

Delivery: 19 Nov - 02 Dec

NT$ 5,826

Faster New Book Imported to Taiwan

Delivery: 06 Nov - 16 Nov

NT$ 7,396

NT$ 5,826

Add to Wishlist

Synopsis "On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions"

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.