Előadó: DR. NAGY BÉLA (BME)

Időpont: 2014. április 23.

Keywords: orthonormal Jordan basis; self-commutator of operator or matrix; multiset; multiplicity; power partial isometry; Jordan-Dunford decomposition

Abstract:

Necessary and sufficient conditions are presented for a linear operator in a finite dimensional complex or real Hilbert space to have a Jordan form in an orthonormal basis. Further, necessary conditions are given in terms of the self-commutator operator.