We study maps on operator algebras which are compatible with, or in another word, respect the most fundamental operator means or pairs of means
If σ is a symmetric mean and f is an operator monotone function on [0,∞), then f(2(A−1+B−1)−1)≤f(AσB...
An operator -algebra is a non-self-adjoint operator algebra with completely isometric involution. We...
In this paper we prove the following result. Let H be a real or complex Hilbert space, let L(H) be t...
This paper traces the development of the theory of the matrix geometric mean in the cone of positive...
We prove that any bijective map between the positive definite cones of von Neumann algebras which pr...
In this paper we consider the cone of all positive, bounded operators acting on an infinite dimensio...
An operator algebra is a closed subalgebra of B(H), for a complex Hilbert space H. By a Jordan opera...
Recently we have presented several structural results on certain isometries of spaces of positi...
AbstractLet A be a standard operator algebra on a complex Hilbert space H of dimension greater than ...
AbstractWe introduce and study a new positive definite (in certain singular cases, positive semidefi...
AbstractOperator means are nonlinear matrix functions that arise in the study of interconnection of ...
AbstractLet B(H) be the algebra of all bounded linear operators on a complex Hilbert space H with di...
We study the question when for a given ∗-algebra A a sequence of cones Cn ⊆Mn(A)sa can be realized a...
AbstractWe prove the range inclusions ranA12>+ranB12⊇ran(AmB)1>2>⊇ranA1>2∩ ranB1>2> for an operator ...
AbstractThere is one to one correspondence between positive operator monotone functions on (0, ∞) an...
If σ is a symmetric mean and f is an operator monotone function on [0,∞), then f(2(A−1+B−1)−1)≤f(AσB...
An operator -algebra is a non-self-adjoint operator algebra with completely isometric involution. We...
In this paper we prove the following result. Let H be a real or complex Hilbert space, let L(H) be t...
This paper traces the development of the theory of the matrix geometric mean in the cone of positive...
We prove that any bijective map between the positive definite cones of von Neumann algebras which pr...
In this paper we consider the cone of all positive, bounded operators acting on an infinite dimensio...
An operator algebra is a closed subalgebra of B(H), for a complex Hilbert space H. By a Jordan opera...
Recently we have presented several structural results on certain isometries of spaces of positi...
AbstractLet A be a standard operator algebra on a complex Hilbert space H of dimension greater than ...
AbstractWe introduce and study a new positive definite (in certain singular cases, positive semidefi...
AbstractOperator means are nonlinear matrix functions that arise in the study of interconnection of ...
AbstractLet B(H) be the algebra of all bounded linear operators on a complex Hilbert space H with di...
We study the question when for a given ∗-algebra A a sequence of cones Cn ⊆Mn(A)sa can be realized a...
AbstractWe prove the range inclusions ranA12>+ranB12⊇ran(AmB)1>2>⊇ranA1>2∩ ranB1>2> for an operator ...
AbstractThere is one to one correspondence between positive operator monotone functions on (0, ∞) an...
If σ is a symmetric mean and f is an operator monotone function on [0,∞), then f(2(A−1+B−1)−1)≤f(AσB...
An operator -algebra is a non-self-adjoint operator algebra with completely isometric involution. We...
In this paper we prove the following result. Let H be a real or complex Hilbert space, let L(H) be t...