# The Splitting Problem for Linear Operators

• James Murdock
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

## Abstract

The examples in Chapter 1 have made it clear that it is important to be able to find a complement C to the image of a linear map L: V → V, that is, a space C such that
$$V = \left( {imL} \right) \oplus C.$$
(2.0.1)
This is purely a problem in linear algebra, and so can be discussed without any explicit mention of normal forms.

## Keywords

Weight Vector Invariant Subspace Large Block Real Vector Space Complex Eigenvalue
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.