Let S be a closed subspace of a Hilbert space H and A a bounded linear selfadjoint operator on H. In this note, we show that the existence of A -selfadjoint projections with range S is related to some properties of shorted ...

Given a bounded selfadjoint operator W on a Krein space H and a closed subspace S of H, the Schur complement of W to S is defined under the hypothesis of weak complementability. A variational characterization of the Schur ...

Consider an operator A :H→K between Hilbert spaces and closed subspaces S ⊂ H and T ⊂ K. If there exist projections E on H and F on K such that R(E) =S, R(F) =T and AE=F∗A then A is called (S, T)-complementable. The origin ...

Flavivirus infections have increased dramatically in the last decades in tropical and subtropical regions of the world. Antibody-dependent enhancement of dengue virus infections has been one of the main hypotheses to explain ...

The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H ...

Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space H. We say that A is P-complementable if A−µP≥ 0 holds for some µ ∈ R. In this case we define IP (A) = max{µ ∈ R : A − µP ...

Clinical and basic findings indicate that angiotensin II (ANG II) differentially modulates hydroelectrolyte and cardiovascular responses in male and female. But are only the activational and organizational hormonal effects ...

Heavy chain antibodies (HCAbs), devoid of the light chains and the CH 1 domain, are present in the serum of camelids. IgG 2 and IgG 3 are HCAbs; whereas IgG 1 has the conventional structure. In order to study the immunological ...

Let H be a Hilbert space, L(H) the algebra of all bounded linear operators on H and ⟨,⟩_A : H x H → C the bounded sesquilinear form induced by a  selfadjoint A ∈ L(H), ⟨ξ, n⟩_A =⟨Aξ, n⟩, ξ , n ∈ H. Given T∈ L(H), T is ...

The Complement inhibitor K-76 was isolated from the supernatant of the culture broth of the fungus Stachybotrys complementi, nov. sp. K-76. The natural product is a sesquiterpenic dialdehyde which can be partially oxidized ...