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…
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided.…
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…
In this paper we develop the spectral theory of the Laplace-Beltrami operator for geometrically periodic hyperbolic 3-manifolds, [double-struck capital]H³/G. Using the theory of holomorphic families of operators, we obtain a quantitative description of the absolutely continuous …
The category of H-modules over a ring spectrum is introduced. We prove that mapping cones can be constructed in the category and that these mapping cones are unique up to equivalence. Other H-modules are constructed by induction and a limit process. We prove that each of the cla…
