Dmitry Yakubovich
Professor
Mathematics
Complutense University of Madrid
Spain
Biography
"Dmitry Yakubovich's main interests lie in Operator Theory. He graduated from Saint Petersburg State University (Russia) and made Ph.D. thesis in the St. Petersburg Department of the Steklov Institute of Mathematics (the Russian Academy of Sciences). He had an investigation grant from the Spanish Ministry of Education and Science in 1995 - 96 and was a Ramón and Cajal fellow in 2003-2008. His main work concerns the spectral theory of nonselfadjoint operators, more precisely, the construction of functional models for different special classes of such operators. This permits one to reduce the typical questions in spectral theory (completeness, the description of invariant subspaces and the commutant, the Riesz basis properties of eigenvectors, etc.) to questions in Complex Analysis. Some of this work has a ""Featured review"" in Mathematical Reviews by the AMS. He also has some results in Linear Control Theory."
Research Interest
Spectral theory of nonselfadjoint operators, more precisely, the construction of functional models for different special classes of such operators
Publications
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Estévez, Daniel; Yakubovich, Dmitry V. Decay rate estimations for linear quadratic optimal regulators. Linear Algebra Appl. 439 (2013), no. 11, 3332–3358.
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S. Chavan, D. Yakubovich, Spherical Tuples of Hilbert Space Operators, Indiana University Math. J., 64 (2015), No. 2, 577-612.
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"Dritschel, Michael A.; Estévez, Daniel; Yakubovich, Dmitry; Tests for complete K-spectral sets. J. Funct. Anal. 273 (2017), no. 3, 984–1019. "
