Exact(22)
Therefore, F satisfies hypothesis (8).
Then I k is compact thus satisfies hypothesis (HI).
From [33], we obtain g satisfies hypothesis (2).
Then (I_{i}) is compact and satisfies hypothesis (H3).
Then g is a compact operator and satisfies hypothesis (Hg).
This implies that the function φ satisfies hypothesis (H2).
Similar(38)
Suppose that (2.1) satisfies Hypotheses.
Then f satisfies hypotheses (H3) and (H4).
Then f ˜ also satisfies hypotheses (H1 - H2).
Let us suppose that (2.1) satisfies Hypotheses.
The following function satisfies hypotheses (H f)).
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