Abstract
Let (X, ∥ ∥ X ) and (Y, ∥ ∥ Y ) be normed spaces (real or complex). By B(X → Y) we denote the set of all continuous linear operators which map the space X into the space Y. In the set B(X → Y) we can introduce operations of addition and multiplication by scalars in the following way:
.
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
© 1987 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Rolewicz, S. (1987). Continuous linear operators in Banach spaces. In: Functional Analysis and Control Theory. Mathematics and its Applications, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7758-8_3
Download citation
DOI: https://doi.org/10.1007/978-94-015-7758-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8423-1
Online ISBN: 978-94-015-7758-8
eBook Packages: Springer Book Archive