It is well known that contractive representations of the disk algebra are completely contractive. Let A denote the subalgebra of the disk algebra consisting of those functions f for which f ′(0) = 0. We prove that there are contractive representations of A which are not completely contractive, and furthermore characterize those contractive representations which are completely contractive.

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In this paper, we analyze mixed 0-1 linear programs under objective uncertainty. The mean vector and the second-moment matrix of the nonnegative objective coefficients are assumed to be known, but the exact form of the distribution is unknown. Our main result shows that computing a tight upper bound on the expected value of a mixed 0-1 linear program in maximization form with random objective i...

We are going to give necessary and sufficient conditions for a multivari-ate stationary stochastic process to be completely regular. We also give the answer to a question of V.V. Peller concerning the spectral measure characterization of such processes.

We give a useful new characterization of the set of all completely positive, trace-preserving maps Φ : M2 → M2. This allows us to determine explicitly all extreme points of this set, and to easily check any tracepreserving map for complete positivity. We also find an interesting class of extreme channels which appear to be new.

In this paper, the Urysohn, completely Hausdorff and completely regular axioms in $L$-topological spaces are generalized to $L$-fuzzy topological spaces. Each $L$-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular tosome degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.

For m,n ∈ N, let fm,n(x) = ψ (x)+ ˆ ψ(x) ̃2 for x > 0. In the present paper, we prove that f1,2(x) is the only nontrivial completely monotonic function on (0,∞). Accurately, the functions f1,2(x) and fm,2n−1(x) are completely monotonic on (0,∞), but the functions fm,2n(x) for (m,n) 6= (1, 1) are not monotonic and does not keep the same sign on (0,∞).