Spectrum, Resolvent and Analytic Functional Calculus
Mircea Martin, Mihai Putinar · Birkhäuser Basel eBooks · 1989
From the point of wiev of the general spectral theory of linear operators, the hyponormality condition has several important and rather unexpected consequences. Among these we mention the formula for the spectral radius, the estimates of the resolvent function, as well as other results such as the existence of the scalar extension and Dynkin’s analytic functional calculus. All these reveal the richness of the spectral theory of hyponormal operators. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.