Ordered Cones and Approximation

Name: Ordered Cones and Approximation
Availability: OutOfStock
ISBN: 9780387554457

ISBN-10: 0387554459

ISBN-13: 9780387554457

Edition: N/A

Authors: Klaus Keimel, Walter Roth, A. Dold, B. Eckmann, F. Takens

List price: $31.95

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Description:

This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally…

Book details

List price: $31.95
Publisher: Springer
Binding: Paperback
Pages: 134
Size: 6.75" wide x 9.75" long x 0.50" tall
Weight: 0.440
Language: English



Introduction



Locally Convex Cones



Cones and preordered cones



Locally convex cones



Local and global preorder. Closure



Cancellation



Locally convex cones via convex quasiuniform structures



Uniformly Continuous Operators and the Dual Cone



Uniformly continuous operators



Linear functionals and separation theorems



Duality theory for locally convex cones



Extreme points and faces



Uniformly directed cones



Directional operators



Subcones



Superharmonic and subharmonic elements. The Sup-Inf-Theorem



Uniformly directed subcones



Super- and subharmonicity with uniformly directed subcones



Approximation



The Convergence Theorem



Some classical applications



Nachbin Cones



Weighted cones of continuous cone-valued functions



A criterion for super- and subharmonicity



Set-valued functions



Quantitative Estimates



Sequence cones



Order of convergence for Korovkin type approximation



Smoothness of cone-valued functions



A criterion for the order of convergence


References


Index