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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2014 Volume 16, Number 2, Pages 79–89 (Mi vmj507)

On inversion of semigroups of operators

A. G. Chshiev

South Mathematical Institute of VSC RAS, Vladikavkaz, Russia

Abstract: We study semigroups of linear relations in Banach space obtained by inversion of semigroups of bounded linear operators of different classes. As a basic research tool we use the orbit of a point. Also we use the common definition of the generator of a semigroup of linear relations.

Key words: semigroup of linear relation, semigroup of operators, generator of the semigroup, linear relation.

UDC: 517.9

Received: 13.03.2013



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