The aim of this paper is to generalize this theorem to a certain type of system of first order linear partial differential equations with analytic (or better: formal) coefficients. To be more precise, a completely integrable Pfaffian system with a special type of singularities a…
In the present paper the author studies the analogue of the class [italic capital]C₀ within a class of operators having a functional calculus based on the algebra of bounded holomorphic functions in a finitely connected domain with an analytic boundary. The latter class consists…
by ERNEST, John
fromMemoirs of the American Mathematical Society
The purpose of this memoir is to offer a cartographic procedure for bringing some organizational sense to the prodigious task of exploring and describing the vast and varied terrain of bounded operators on a separable Hilbert space. While we prove (in a certain sense) that the c…
by Koskela, Pekka, Hajłasz, Piotr
fromMemoirs of the American Mathematical Society
In this paper we develop geometric notions related to self-adjoint projections and one-sided ideals in operator algebras. In the context of affine function spaces on convex sets we define projective units. P-projections, and projective faces which generalize respectively self-ad…
