|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
|
Buy Now
Compact Convex Sets and Boundary Integrals (Paperback, Softcover reprint of the original 1st ed. 1971)
Loot Price: R1,389
Discovery Miles 13 890
|
|
|
Compact Convex Sets and Boundary Integrals (Paperback, Softcover reprint of the original 1st ed. 1971)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 57
Expected to ship within 18 - 22 working days
|
The importance of convexity arguments in functional analysis has
long been realized, but a comprehensive theory of
infinite-dimensional convex sets has hardly existed for more than a
decade. In fact, the integral representation theorems of Choquet
and Bishop -de Leeuw together with the uniqueness theorem of
Choquet inaugurated a new epoch in infinite-dimensional convexity.
Initially considered curious and tech nically difficult, these
theorems attracted many mathematicians, and the proofs were
gradually simplified and fitted into a general theory. The results
can no longer be considered very "deep" or difficult, but they
certainly remain all the more important. Today Choquet Theory
provides a unified approach to integral representations in fields
as diverse as potential theory, probability, function algebras,
operator theory, group representations and ergodic theory. At the
same time the new concepts and results have made it possible, and
relevant, to ask new questions within the abstract theory itself.
Such questions pertain to the interplay between compact convex sets
K and their associated spaces A(K) of continuous affine functions;
to the duality between faces of K and appropriate ideals of A(K);
to dominated extension problems for continuous affine functions on
faces; and to direct convex sum decomposition into faces, as well
as to integral for mulas generalizing such decompositions. These
problems are of geometric interest in their own right, but they are
primarily suggested by applica tions, in particular to operator
theory and function algebras."
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
