Mathematical Notes

, Volume 84, Issue 1, pp 166–183

Linear relations as generators of semigroups of operators


DOI: 10.1134/S0001434608070183

Cite this article as:
Baskakov, A.G. Math Notes (2008) 84: 166. doi:10.1134/S0001434608070183


The theory of semigroups of bounded linear operators is based on the spectral theory of linear relations (multivalued linear operators), which act as generators of operator semigroups.

Key words

semigroup bounded linear operator linear relation (multivalued linear operator) spectral theory primitive generator of a semigroup resolvent set of a linear relation ergodic theorem holomorphic function 

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Voronezh State UniversityVoronezhRussia

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