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Necessary condition for the existence of an intertwining operator and classification of transmutations on its basisThe authors study second-order ordinary differential operators with functional coefficients for all

On Bellman-Golubov theorems for the Riemann-Liouville operatorsSuperposition of Fourier transform with the Riemann - Liouville operators is studied. Copyright

Inequalities for the block projection operatorsOriginally studied by Gohberg and Krein, the block projection operators admit a natural extension

Differences of idempotents in C*-algebras = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I

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

On the τ-Compactness of Products of τ -Measurable Operators Adjoint to Semi-Finite Von Neumann Algebras algebra of operators in a Hilbert space H and τ be an exact normal semi-finite trace on M. We obtain

On idempotent τ-measurable operators affiliated to a von Neumann algebra algebra M, let p, 0 < p < ∞, be a number, and let Lp(M, τ) be the space of operators whose pth power

Differences of idempotents in C*-algebras and the quantum Hall effectlinear operator

Boundedness of multidimensional hausdorff operators in h p spaces, 0 < p < 1 of multidimensional Hausdorff operators in Hardy spaces Hp(Rn), n ≥ 2, 0 < p < 1, are given. Positive and negative

A spectral resolution for digital pseudo-differential operatorsAuthors consider a special class of operators acting in discrete spaces and discuss certain its

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