V. Glavan, Z. Rzeszótko, “On Strong Stability of Linear Poisson Actions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, Number 2,Pages <nobr>5

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Research articles

On Strong Stability of Linear Poisson Actions

V. Glavan^a, Z. Rzeszótko^b

^a Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova
^b University of Podlasie, Siedlce, Poland

Abstract: Linear Poisson actions of the group $R^m$ are considered. Conditions on the joint spectrum of the generators and on the centralizers assuring stability and strong stability of the action are given. We give also some examples of Poisson actions using CAS “Mathematica”.

Keywords and phrases: linear Poisson action, Hamiltonian polyoperator, joint spectrum, strong stability.

MSC: 37J25

Received: 12.11.2002

Language: English