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Concerning the theory of τ-measurable operators affiliated to a semifinite von Neumann algebra© 2015, Pleiades Publishing, Ltd. Let M be a von Neumann algebra of operators in a Hilbert space H

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

On Bol algebras than or equal to 6. In the paper, only Bol algebras of dimension 3, with the trilinear operation

Minimality of convergence in measure topologies on finite von Neumann algebras into the *-algebra of measurable operators M̃ endowed with the topology of convergence in measure is continuous

Characterization of Tracial Functionals on Von Neumann Algebras among all positive normal functionals ϕ on a von Neumann algebra A. This strengthens the L. T. Gardner’s

Grobner-Shirshov Bases and PBW Theorems of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras

Commutation of projections and trace characterization on von Neumann algebras. IIWe obtain new necessary and sufficient commutation conditions for projections in terms of operator

Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra

On the ideals of a C*-algebra generated by a family of partial isometries and multipliers© 2015, Pleiades Publishing, Ltd. The C*-subalgebra of the algebra of all bounded operators

Paranormal measurable operators affiliated with a semifinite von Neumann algebra. II© 2020, Springer Nature Switzerland AG. Let M be a von Neumann algebra of operators on a Hilbert

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