Abstract
As has been said before in this book, the theory of bounded linear operators on a Banach space has seen relatively little activity owing to the difficult geometric problems inherent in the concept of a Banach space. In this chapter several of the general concepts of this theory are presented. When combined with the few results from the next chapter, they constitute essentially the whole of the general theory of these operators.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media New York
About this chapter
Cite this chapter
Conway, J.B. (2007). Linear Operators on a Banach Space. In: A Course in Functional Analysis. Graduate Texts in Mathematics, vol 96. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4383-8_6
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4383-8_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3092-7
Online ISBN: 978-1-4757-4383-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)