Linear spaces and differentiation theory
Author(s)
Bibliographic Information
Linear spaces and differentiation theory
(Pure and applied mathematics)
Wiley, c1988
Available at 35 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"A Wiley-Interscience publication"
Bibliography: p. 234-235
Includes index
Description and Table of Contents
Description
The extension of differential calculus to unnormed function spaces has been tried in a number of different ways by different writers, without any agreement being reached. Here, Frolicher and Kriegl propose a new theory which is a striking improvement on previous theories, both in its simplicity and in its applications to other branches of mathematics. The authors' emphasis is on the usefulness of the new theory and they include examples to show how the main results can be applied. The Frolicher-Kriegl calculus should provide a new basis for future work in this area, as well as in functional analysis and category theory.
Table of Contents
- Preface
- Foundational Material
- Convenient Vector Spaces
- Multilinear Maps and Categorical Properties
- Calculus in Convenient Vector Spaces
- Differentiable Maps and Categorical Properties
- The Mackey Closure Topology
- Permanence Properties
- Counterexamples
- Some Categorical Notions and Notations
- Bibliography
- Index.
by "Nielsen BookData"