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AN INDEX FORMULA FOR GROUPS OF ISOMETRIC LINEAR CANONICAL TRANSFORMATIONSWe define a representation of the unitary group U (n) by metaplectic operators acting on L2(Rn
The gleason theorem for the field of rational numbers and residue fields linear operator, is proved. © 1999 Kluwcr Academic/Plenum Publishers.
On invertibility of some operator sumsWe study invertibility of some sums of linear bounded operators on Hilbert space (Theorem 1). A
M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operatorThe paper deals with iterative methods for solving linear operator equations x=Bx+f and Ax
Ideal F-norms on C*-algebras© 2015, Allerton Press, Inc. We show that every measure of non-compactness on a W
Finiteness of a set of non-collinear vectors generated by a family of linear operatorsLet ℝn be a real n-dimensional space, let {A(x) | x ∈ X} be a family of m = |X| linear operators
Commutation of Projections and Characterization of Traces on von Neumann Algebras. III commutation conditions for nonnegative operators and projections in terms of operator inequalities
The infinite-dimensional linear programming problems and their approximationIn this chapter primal and dual abstract linear programming problems are considered
Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces
On hermitian operators X and Y meeting the condition -Y ≤ X ≤ YWe obtain a description of all pairs of Hermitian operators X and Y, which satisfy the condition -Y
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