Linear spaces and differentiation theory
著者
書誌事項
Linear spaces and differentiation theory
（Pure and applied mathematics）
Wiley, c1988
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注記
"A Wiley-Interscience publication"
Bibliography: p. 234-235
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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