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Let L be a Fredholm mapping of index zero.
This means L is a Fredholm mapping of index zero.
Hence, is a Fredholm mapping of index zero.
Therefore, L is a Fredholm mapping of index zero.
Therefore, is a Fredholm mapping of index zero.
Let be two Banach spaces, and let be a Fredholm mapping of index zero.
The mapping will be called a Fredholm mapping of index zero if and is closed in.
Thus, dim Ker codim Im, and is a linear Fredholm mapping of index zero.
Let be a Fredholm mapping of index zero and let be -compact on.
Lemma 3.2 The operator L is a Fredholm mapping of index zero.
Let L be a Fredholm mapping of index zero and N be L-compact on Ω̅.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com