The True Adjoint of a Linear System

Abstract

In this section, we consider the linear systems (32.1), (32.2) under the same hypotheses as in Section 32. We will identify B₀ with the conjugate space of C using the pairing

$$\begin{array}{*{20}c} {\left( {{\rm{\psi }},{\rm{\phi }}} \right) = \int_{ - {\rm{r}}}^0 {\left[ {{\rm{d\psi }}\left( \theta \right)} \right]} {\rm{\phi }}\left( \theta \right)} & {{\rm{for}}} & {{\rm{\psi }} \in {\rm{B}}_{0,} {\rm{\phi }} \in {\rm{C}}} \\\end{array}$$

((33.1))

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