Given B,C and W operators in the algebra L(H) of bounded linear operators on the Krein space H, the minimization problem min (BX − C)^{#}W(BX − C), for X ∈ L(H), is studied when the weight W is selfadjoint. The analogous ...

In this work we give all the order-two hypergeometric operators D, symmetric with respect to some 2 × 2 irreducible matrix-weight W on (0,1) such that DPn=Pnλn00μn with no repetition among the eigenvalues {λn,μn}n∈N0 , ...

We study boundedness and convergence on Lp(ℝn, dμ) of the projection operators Pj given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally integrable ...

Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator such that W^1/2 is in the p-Schatten class, for some 1 ≤ p < ∞. Given A,B ∈ L(H) with closed range and C ∈ L(H), ...

We study scheduling problems when jobs can be split and a setup is required before processing each part, to minimize the weighted sum of completion times. Using a simple splitting strategy and a reduction to an orders ...