On convex closed sets of measurable operatorsWe investigate "operator" intervals of three types and prove some
convexity and closedness theorems
On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and
convexity criteria for a continuous
Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent
convex functions defined in the exterior of the unit disc. We prove sharp
To the theory of operator monotone and operator convex functions in an infinite-dimensional Hilbert
space. We describe the class of
convex operator functions with respect to a
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
Theory of spectral sequences. II. The duality in
locally convex, topological vector
spaces is of special interest. We use results of functional
On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and
convexity criteria for a continuous
Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent
convex functions defined in the exterior of the unit disc. We prove sharp