Operator Functions

U ovom radu se proučavaju funkcije f za koje se može definirati operator f(A), pri čemu je A linearni operator na nekom vektorskom prostoru V . U uvodnom dijelu će biti definirani osnovni pojmovi potrebni za razumijevanje rada. Zatim će biti definiran f(A) za cijelu funkciju, te prikaz f(A) u Jordanovoj i kanonskoj bazi. Zadnje poglavlje rada govori o f(A) kao polinomu.In this paper we will consider functions f for which we can define operator f(A), where A is a linear operator on the vector space V . In the introduction we will define the basic concepts that we need for understanding the paper. After that, f(A) will be defined for the entire function and the representation of f(A) in Jordan and canonical base. The paper will be concluded with the chapter about f(A) as a polyomia