SOME COMPUTATIONS AND EXTREMAL PROPERTIES OF OPERATORS

  • Moon, Kyung-Young (Department of Mathematics, College of National Sciences, Kyungpook National University) ;
  • Park, Sun-Hyun (Department of Mathematics, College of National Sciences, Kyungpook National University)
  • Published : 2007.12.30

Abstract

In [6] some computation of spectral measures induced by normal operators $T^{*n}T^n$ was introduced. In this note we improve some computations by using spectral measures, which are related t o extremal vectors. Also, we discuss the extremal value properties and apply our spectral measure equations to moment sequences which are induced by weighted shifts.