The Resolvent of an Operator - University of Washington The Resolvent of an Operator Hart Smith Department of Mathematics University of Washington, Seattle Math 526 556, Spring 2015 Notation X;Y are Banach spaces over C: normed vector spaces with norms kkX and kkY, complete as metric spaces B(X;Y) is space of bounded linear operators from X to Y with norm kTk B(X;Y) = sup
What is a resolvent of an operator? - Mathematics Stack Exchange The term "resolvent" was a term coined by Hilbert for the operator first used by Fredholm in the late 19th century Fredholm initiated a study of integral equations arising out of the study of partial differential equations A parameter $\lambda$ was part of the integral equation,