Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
|
Not currently available
Convergence Structures and Applications to Functional Analysis (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Loot Price: R2,030
Discovery Miles 20 300
You Save: R248
(11%)
|
|
Convergence Structures and Applications to Functional Analysis (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
|
For many, modern functional analysis dates back to Banach's book
[Ba32]. Here, such powerful results as the Hahn-Banach theorem, the
open-mapping theorem and the uniform boundedness principle were
developed in the setting of complete normed and complete metrizable
spaces. When analysts realized the power and applicability of these
methods, they sought to generalize the concept of a metric space
and to broaden the scope of these theorems. Topological methods had
been generally available since the appearance of Hausdorff's book
in 1914. So it is surprising that it took so long to recognize that
they could provide the means for this generalization. Indeed, the
theory of topo- logical vector spaces was developed systematically
only after 1950 by a great many different people, induding
Bourbaki, Dieudonne, Grothendieck, Kothe, Mackey, Schwartz and
Treves. The resulting body of work produced a whole new area of
mathematics and generalized Banach's results. One of the great
successes here was the development of the theory of distributions.
While the not ion of a convergent sequence is very old, that of a
convergent fil- ter dates back only to Cartan [Ca]. And while
sequential convergence structures date back to Frechet [Fr], filter
convergence structures are much more recent: [Ch], [Ko] and [Fi].
Initially, convergence spaces and convergence vector spaces were
used by [Ko], [Wl], [Ba], [Ke64], [Ke65], [Ke74], [FB] and in
particular [Bz] for topology and analysis.
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..
Theory
Steven Lord, Fedor Sukochev, …
Hardcover
R4,365
Discovery Miles 43 650
See more
|