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(v): It follows from assertions (i) and (iii).
If A ( Y ), B ( Y ) or T ( Y ) are J-complete, then the assertions (i) and (ii) hold.
Indeed, if A ( Y ) is J-complete, then since A ( Y ) ⊂ S ( Y ), the assertions (i) and (ii) are true.
By Theorem 4.1 there exists ((bar{x},bar{y} )in G_{S}) such that assertions (i) and (ii) hold.
Theorem 3.1 Consider the following assertions: (i) The family { f, g, δ C ; f t, g t : t ∈ T } satisfies the (WBCQ).
There is no p ∈ R such that P, M or T is ( B p, G ) -super-stabilizable. Proof Combining the above corollary with Theorem 1.1, we immediately deduce the assertions (i), (ii), and (iii).
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Suppose X, A, (A_{0}), and B are as in Theorem 2.1 and (T Ato B) satisfies the assertions (i - v) i - veorem 3.1.
Assume that (T Ato B) satisfies the assertions (i - v) i - veorem 2.1 and alpha(p,q)+d(Tp,Tq)leqpsinigl(M(p,q)bigr) holds for all (p,qin A).
Assertion (i) is easy to check.
We first show the assertion (i).
Now we prove the assertion (i).
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