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Exact(6)
which contradicts the strict contractivity of.
But from the strict contractivity of we also get (3.6). a contradiction.
If it were true that, we would conclude from the strict contractivity of and that (2.16).
This together with the strict contractivity of and gives (3.9). a contradiction.
If, then from (1.1) and (2.14) it follows that is a fixed point of, and the strict contractivity of gives.
But since for an, from the strict contractivity of it follows that the interval is of greater length than, a contradiction.
Similar(54)
so the conditions of strict contractivity are fulfilled.
that is, the conditions of strict contractivity are fulfilled.
Obviously, a firmly nonexpansive mapping is also nonexpansive, and strict contractivity implies contractivity.
This is accomplished by first establishing the complete contractivity of contractive representations through a semi-discreteness property for nest algebras relative to finite-dimensional nest algebras (Theorem 2.1).
Using the contractivity of we have (2.59).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com