A non-commutative version of Nikishin's theorem algebra, L1(τ) be the space of integrable
self-adjoint operators, and S be the space of
self-adjoint To the theory of operator monotone and operator convex functions monotone in the sense of the natural order on the set of positive
self-adjoint operators affiliated
On a Trace Formula for Functions of Noncommuting Operators to the case of functions of noncommuting
self-adjoint operators. To prove this, we show that, for pairs (A1, B
Sherman’s Operator Inequality convex functions, whose arguments are the bounded
self-adjoint operators from C* -algebra on a Hilbert
Trace and Commutators of Measurable Operators Affiliated to a Von Neumann Algebra to the trace τ)
operators affiliated to a semifinite von Neumann algebra M. For
self-adjoint τ
On invertibility of some operator sums, Y ∈ B(H) be
self-adjoint operators, X ≥ 0 and X ≤ Y ≤ X. If Y is invertible, then X is also
Von Neumann J-algebras in a space with two symmetries-negative)
operators. J-projections in A are characterized. The class of plus-
operators that are simultaneously
self-adjoint