Preheat the oven to 350F (180C) degrees. Lightly grease a 9-inch (23 cm) round springform pan and dust with flour. I recommend wrapping the outside in tin foil just in case the seal isn't perfect.
For the streusel - whisk together the 1 cup flour, 1/3 cup granulated sugar, 1/3 cup brown sugar and cinnamon. Then whisk in the 1/3 cup melted butter. It should form crumbles and feel slightly damp. Set aside.
In a medium bowl stir together the dry ingredients for the banana cake: flour, cinnamon, baking soda and salt. Set aside.
In a large bowl whisk together the 1/2 cup melted butter, 3/4 cup granulated sugar, 1/4 cup brown sugar, 2 eggs and vanilla extract. When done, there should be no lumps of sugar or pieces of egg.
Whisk the sour cream into the wet ingredients.
Carefully whisk the dry ingredients into the wet ingredients.
Stir in the mashed banana. There may be some lumps of banana in the batter -which is expected.
Pour the batter into the prepared pan and smooth the top.
Sprinkle the streusel over the cake. You may have some extra, which is ok.
Bake for about 40-45 minutes or until an inserted toothpick comes out clean and if you give the pan a nudge the cake doesn't wobble in the middle. If you're unsure, continue baking for about 5 minutes.
Cool the cake in the pan.