diff options
Diffstat (limited to 'pages/functional-analysis-basics/reflexive-spaces.md')
| -rw-r--r-- | pages/functional-analysis-basics/reflexive-spaces.md | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/pages/functional-analysis-basics/reflexive-spaces.md b/pages/functional-analysis-basics/reflexive-spaces.md index 781fb1f..58ca1d3 100644 --- a/pages/functional-analysis-basics/reflexive-spaces.md +++ b/pages/functional-analysis-basics/reflexive-spaces.md @@ -17,7 +17,7 @@ $$ where the functional $g_x$ on $X'$ is defined by $$ -g_x(f) = f(x) \quad \text{for $f \in X'$,} +g_x(f) = f(x) \quad \text{for $f \in X'$,} $$ is called the *canonical embedding* of $X$ into its bidual $X''$. @@ -79,7 +79,7 @@ C : X \longrightarrow X'', \quad C(x)(f) = f(x), \quad x \in X, f \in X', $$ is an isomorphism. -Therefore, the the dual map +Therefore, the dual map $$ C' : X''' \longrightarrow X', \quad C'(h)(x) = h(C(x)), \quad x \in X, h \in X''', |