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so assumption (i) implies (3.7).
By Assumption (i) and since, (4.17).
In particular (noticing assumption (i)), (4.8).
Actually, by assumption (i), we know that (2.31).
Moreover, (C omega_{1})) is also closed by assumption (i).
Then, by the assumption (i), we have (3.43).
Therefore, assumption (i) of Theorem 3.1 is satisfied.
This fact is a consequence of the assumption (i).
So, Assumption (i) of Theorem 5.1 is satisfied.
By assumption (i), is a closed subspace of.
It follows from the assumption (i), we have for.
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CEO of Professional Science Editing for Scientists @ prosciediting.com