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On convergence of functions of normal operators in strong operator topology corollary, Kadison's theorem on strong continuity of operator functions is refined. © 2007 Springer Science
A Spectral Sobolev Problem for the Biharmonic OperatorConsider the biharmonic operator on the 3-dimensional torus with the domain given by functions
Inequalities for the block projection operatorsOriginally studied by Gohberg and Krein, the block projection operators admit a natural extension
DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTUREWe consider a nonnegative differential-difference operator with degeneration. It is proved
A Spectral Sobolev Problem for the Biharmonic OperatorAbstract: Consider the biharmonic operator on the 3-dimensional torus with the domain given
Spectral theory of fractional order integration operators, their direct sums, and similarity problem to these operators of their weak perturbationsThis survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0
Nonlocal elliptic operators for compact lie groupsThe class of nonlocal operators corresponding to shifts along orbits under the action of a compact
Calculations of Norms for Monotone Operators on Cones of Functions with Monotonicity Properties for monotone operators on the cones of functions with monotonicity properties. We implement a general approach
Convergence in Measure and τ-Compactness of τ-Measurable Operators, Affiliated with a Semifinite von Neumann Algebra. We establish the Leibniz criterion for sign-alternating series of τ-measurable operators and present
Integrable products of measurable operators operators, assume also that M is the *-algebra of all τ-measurable operators. We give the sufficient
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