Linear Spaces and Differentiation Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover

Frölicher, Alfred; Kriegl, Andreas

 
9780471917861: Linear Spaces and Differentiation Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
Hardcover
ISBN 10: 0471917869 ISBN 13: 9780471917861
Publisher: Wiley, 1988

Synopsis

This book presents a new basis for differential calculus. Classical differentiation in linear spaces of arbitrary dimension uses Banach spaces--but most function spaces are not Banach spaces. Any attempts to develop a theory of differentiation covering non-normable linear spaces have always involved arbitrary conditions. This book bases the theory of differentiability of linear spaces on the fundamental idea of reducing the differentiability of general maps to that of functions on the real numbers. And the property ``continuously differentiable'' is replaced by that of ``Lipschitz differentiable.'' The result is a more natural theory, of conceptual simplicity that leads to the the same categories of linear spaces, but in a more general setting.

"synopsis" may belong to another edition of this title.

Publisher
Wiley
Publication date
1988
Language
English
ISBN 10 
0471917869
ISBN 13 
9780471917861
Binding
Hardcover
Edition number
1
Number of pages
264