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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

Pontryagin’s Principle of Maximum for Linear Optimal Control Problems with Phase Constraintsin Infinite Dimensional Spaces in an infinite dimensional normal space with separated locally convex topology demonstrated using the works of M

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

Implicit-function theorem on the cone in a neighborhood of an irregular pointBanach space

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

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