Update

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''',