Linear spaces and differentiation theory
Author(s)
Bibliographic Information
Linear spaces and differentiation theory
（Pure and applied mathematics）
Wiley, c1988
Available at / 35 libraries
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
517-218s081000080712*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:516.3/f9222070097361
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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"