Charting the operator terrain
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…
This work deals with the general theory, both linear and non-linear, of operator semigroup product formulas of the type lim [over] n[right arrow][infinity] F(t/n) [superscript]n = G(t). The principal application is the use of the Trotter-Lie product formula e [superscript]tC = l…
This paper investigates algebraic and topological aspects of the study of reflexive operator algebras.
"This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on K-Homology and Index Theory, held in August 1991 at the University of Colorado at Boulder…