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V tomto clanku studujeme linearni operator, který je přidružený linearnimu Hamiltonovskemu systemu, na neohranicenem intervalu. Charakterizujeme definicni obor jeho Friedrichsova rozsiřeni pomoci recesivniho systemu řeseni v nekonecnu. Tento výsledek zobecňuje podobnou teorii odvozenou autory Marletta a Zettl pro linearni operatory definovane pomoci Sturm--Liouvilleových diferencialnich rovnic sudeho řadu.

Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval