Sökning: "Johan Balkare"

Hittade 2 uppsatser innehållade orden Johan Balkare.

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

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Johan Balkare; [2016]
   Nyckelord :;

   Sammanfattning : 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. LÄS MER

3. 2. Shift Operator in l2 Space

   Kandidat-uppsats, KTH/Matematik (Inst.)

   Författare :Johan Balkare; [2014]
   Nyckelord :;

   Sammanfattning : 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. LÄS MER