Add to ORKGIn this paper, we introduce the notion of multivariate generalized perspectives and verify the necessary and sufficient conditions for operator convexity (concavity) of this notion. We also establish the crossing of the multivariate generalized perspective of regular operator mappings under completely positive linear maps and partial traces
Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)...
AbstractLet I, J be intervals such that 0 ∈ I ∩ J. Let Mm be the algebra of all m ×m complex matrice...
The Perspective Reformulation (PR) of a Mixed-Integer NonLinear Program with semi-continuous variabl...
In this paper, we introduce the notion of multivariate generalized perspectives and verify the neces...
Any finite, separately convex, positively homogeneous function on $\mathbb{R}^2$ is convex. This was...
AbstractMotivated by a joint concavity of connections, solidarities and multidimensional weighted ge...
In this paper we deal with Sherman’s inequality and its complementary inequalities for operator conv...
The generalized state space of a commutative C*-algebra, denoted SH(C(X)), is the set of positive un...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
The motivation behind this paper is threefold. Firstly, to study, characterize and realize operator...
This dissertation examines two distinct problems about multivariate functions and their associated o...
Dans de nombreuses applications, nous souhaitons interpoler ou approcher une fonction de plusieurs v...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
International audienceThis book presents a largely self-contained account of the main results of con...
This paper is an expository devoted to an important class of real-valued functions introduced by Löw...
Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)...
AbstractLet I, J be intervals such that 0 ∈ I ∩ J. Let Mm be the algebra of all m ×m complex matrice...
The Perspective Reformulation (PR) of a Mixed-Integer NonLinear Program with semi-continuous variabl...
In this paper, we introduce the notion of multivariate generalized perspectives and verify the neces...
Any finite, separately convex, positively homogeneous function on $\mathbb{R}^2$ is convex. This was...
AbstractMotivated by a joint concavity of connections, solidarities and multidimensional weighted ge...
In this paper we deal with Sherman’s inequality and its complementary inequalities for operator conv...
The generalized state space of a commutative C*-algebra, denoted SH(C(X)), is the set of positive un...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
The motivation behind this paper is threefold. Firstly, to study, characterize and realize operator...
This dissertation examines two distinct problems about multivariate functions and their associated o...
Dans de nombreuses applications, nous souhaitons interpoler ou approcher une fonction de plusieurs v...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
International audienceThis book presents a largely self-contained account of the main results of con...
This paper is an expository devoted to an important class of real-valued functions introduced by Löw...
Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)...
AbstractLet I, J be intervals such that 0 ∈ I ∩ J. Let Mm be the algebra of all m ×m complex matrice...
The Perspective Reformulation (PR) of a Mixed-Integer NonLinear Program with semi-continuous variabl...