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Namely, in the first case, in the standard norm of the space.
Let with the standard norm and with the norm for some.
Then E with its standard norm (Vert cdot Vert ) is a reflexive Banach space.
In our considerations, we will work in the Banach space with the standard norm.
Then E with its standard norm ∥ ⋅ ∥ is a reflexive Banach space.
Example 3.1 Let E = R with the standard norm ∥ ⋅ ∥ = | ⋅ | and C = [ 0, 1 ].
In this paper, for let and denote the usual Sobolev space equipped with the standard norm.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com