Trung Hoa Dinh, Oleg E. Tikhonov, Lidia V. Veselova. Source: Annals of Functional Analysis, Volume 10, Number 3, 425--432.Abstract:
We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this provides an opportunity to extend the inequalities onto unbounded positive self-adjoint operators.