In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications.
| ISBN: | 9780521248464 |
| Publication date: | 17th July 1986 |
| Author: | Anthony F Ruston |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 293 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Probability and statistics |
In this tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in book form before. Dr Ruston begins with the construction for operators of finite rank, using Fredholm's original method as a guide. He then considers formulae that have structure similar to those obtained by Fredholm, using, and developing further, the relationship with Riesz theory. In particular, he obtains bases for the finite-dimensional subspaces figuring in the Riesz theory. Finally he returns to the study of specific constructions for various classes of operators. Dr Ruston has made every effort to keep the presentation as elementary as possible, using arguments that do not require a very advanced background. Thus the book can be read with profit by graduate students as well as specialists working in the general area of functional analysis and its applications.
Fredholm Theory in Banach Spaces features in the following genres: Probability and statistics
Fredholm Theory in Banach Spaces is available in Hardback
Fredholm Theory in Banach Spaces was written by Anthony F Ruston and published by Cambridge University Press
Fredholm Theory in Banach Spaces has 293 pages
Yes it is part of Cambridge Tracts in Mathematics series