Institute of Mathematics and Mechanics. General Theory of Operators

	Head of department:	Aydin Israfil oglu Shahbazov Ph.D. in Physical and Mathematical Sciences, Senior Sciences Worker
	Total number of employees:	10
	Main areas of activity of the department:	Problems on the existence of invariant spaces of operator algebras and operator family; description of a class of compact operators in functional spaces; study of numerical images of operators, investigation of spectral properties of polynomial operators, bundle theory of random processes.
	Main scientific results of the department:	Relation of Berezin symbol of Sexfalve-Nad-Foius model operator with other number quantities Compactness, nurlearity and spectrum of weight composition operator; Invariant sub-spaces of operator algebras and Lie semigroups, structure of the spectrum and numerical range of operators in Banach spaces, Taylor spectrum of quasilinear Banach algebra of Lie and formula for their calculation.