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Algebras over operad of spheres to the rational equivalence) of the variety of algebras over this operad in terms of symbols of operations

On Some Properties of Adjoint Groups of Associative Nil AlgebrasLocal stepped configuration of adjoint groups of associated nil algebras is proved. Problems 8

On convexity and compactness of operator ``intervals'' on Hilbert spaceWe consider a von Neumann algebra $M$ acting on a Hilbert space $H$. For a positive operator $X

One class of C *-algebras generated by a family of partial isometries and multiplicatorsWe considera C *-subalgebra of the algebra of all bounded operators on the Hilbert space of square

Representations of von Neumann Algebras and Ultraproducts ultraproducts of von Neumann algebras by Groh (J. Operator Theory 11(2), 395–404 1984) and Raynaud (J. Operator

SYMMETRIES OF EQUATIONS AND ASSOCIATED ALGEBRAIC STRUCTURESConnection between symmetries of an operator equation and Lie algebras is established.

Subadditivity inequalities in von Neumann algebras and characterization of tracial functionalsWe examine under which assumptions on a positive normal functional φ on a von Neumann algebra, M

Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra operators on a manifold with boundary. We define periodic cyclic cocycles on the algebra of symbols

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

Operator algebras associated with multi-valued mappingsIn the paper a new approach is proposed to construction of operator algebras generated by multi

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