Abstract
The presence of a topology on a linear space leads naturally to the extremely important classification of linear transformations into continuous and discontinuous ones. In normed spaces this distinction is facilitated by the existence of a very simple criterion for continuity.
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
© 1977 Springer-Verlag, New York Inc.
About this chapter
Cite this chapter
Brown, A., Pearcy, C. (1977). Bounded linear transformations. In: Introduction to Operator Theory I. Graduate Texts in Mathematics, vol 55. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9926-4_12
Download citation
DOI: https://doi.org/10.1007/978-1-4612-9926-4_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9928-8
Online ISBN: 978-1-4612-9926-4
eBook Packages: Springer Book Archive