Let R be the convex subset of IR defined by q simultaneous linear matrix inequalities (LMI) A 0 + ∑n i=1 xiA (j) i 0, j = 1, 2, . . . , q. Given a strictly positive vector ω = (ω1, ω2, · · · , ωq), the weighted analytic center xac(ω) is the minimizer argmin (φω(x)) of the strictly convex function φω(x) = ∑q j=1 ωj log det[A (j)(x)]−1 over R. We give a necessary and sufficient condition for a po...

In this article, we investigate, a certain localised version of the single-valued extension property for a bounded linear operator on a Banach space. We show that this condition behaves canonically under the Riesz functional calculus, and derive a number of characterisations in terms of kernel-type and range-type spaces for the operator and its adjoint. The theory is exemplified in the case of ...

Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H and on the standard weighted Bergman spaces Aα. For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a ...

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms positivity $n \times n$ matrices analogous to the classical Pick matrix. We study for which it suffices consider bounded size $n$. connect this problem notion subhomogeneity non-selfadjoint operator algebras. Our main results show that multiplier algebras many analytic functions, such as Dirichlet space and Drury-Arv...