Abstract
Everyone is familiar with linear operators. Multiplication by a constant is a linear operator. Multiplication of vectors by matrices generates an operator. Integration usually generates another, depending upon the setting.
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.
References
N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert space, vol. I and II, Frederick Ungar, New York, 1961.
A. M. Krall, Applied Analysis, D. Reidel, Dordrecht, 1986.
F. Riesz and B. Sz.-Nagy, Functional Analysis, Frederick Ungar, New York, 1955.
A. E. Taylor, Introduction to Functional Analysis, John Wiley and Sons, New York, 1958.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Basel AG
About this chapter
Cite this chapter
Krall, A.M. (2002). Bounded Linear Operators On a Hilbert Space. In: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials. Operator Theory: Advances and Applications, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8155-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8155-5_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9459-3
Online ISBN: 978-3-0348-8155-5
eBook Packages: Springer Book Archive