Abstract
Let L1(λ),…,Lr(λ) be monic operator polynomials acting on a Banach space x. An operator polynomial L(λ) acting on x is called monic left common multiple of L1,…,Lr if L(λ) is monic and L(λ) = M1(λ)L1(λ) =…= M1(λ)Lr(λ) for some (necessarily monic) operator polynomials M1 (λ),…,Mr(λ). In this chapter we shall study Bionic left common multiples. The main tool of our investigation will be the Vandermonde operator and its properties. This operator is introduced in Section 3.1.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Birkhäuser Verlag Basel
About this chapter
Cite this chapter
Rodman, L. (1989). Vandermonde Operators and Common Multiples. In: An Introduction to Operator Polynomials. Operator Theory: Advances and Applications, vol 38. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9152-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-0348-9152-3_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9928-4
Online ISBN: 978-3-0348-9152-3
eBook Packages: Springer Book Archive