Essays about: "Johan Balkare"

Found 2 essays containing the words Johan Balkare.

1. 1. Cauchy Integrals Method in the Study of Perturbations of Operators

   University essay from KTH/Matematik (Avd.)

   Author : Johan Balkare; [2016]
   Keywords : ;

   Abstract : We show that functions which are analytic on the open unit disc and fulfil the Hölder condition of order r  there, where r lies in the interval (0,1), are operator Hölder of order r on the set of all linear contractions on a Hilbert space. Further, it is known that analytic Lipschitz functions on the unit disc need not be operator Lipschitz. READ MORE

3. 2. Shift Operator in l2 Space

   University essay from KTH/Matematik (Inst.)

   Author : Johan Balkare; [2014]
   Keywords : ;

   Abstract : A Hilbert space H is the abstraction of a nite-dimensional Eu-clidean space. The spectrum of a bounded linear operator A : H !H , denoted (A), is given by all numbers 2 C such that (A􀀀I) isnot invertible. The shift operators are one type of bounded linear op-erators. In this report we prove ve claims regarding the spectrum ofthe shifts. READ MORE