It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when t is a real invertible matrix; the proof utilizes the Hilbert projective metric and the Banach fixed-point theorem. I present a simpler proof of a more general result
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
The principal goal of this work is to investigate new sufficient conditions for the existence and co...
AbstractLet H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingul...
It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when...
AbstractIt was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solut...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
Abstract. In this paper we extend the definition of K-positive definite operators from linear to Fre...
AbstractLet H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingul...
AbstractThe paper studies the equation AX=C for bounded linear operators between Hilbert spaces, giv...
AbstractThe Cayley-Hilbert metric is defined for a real Banach space containing a closed cone. By re...
Abstract. Let X be a real uniformly smooth Banach space and let T: D(T) ⊆ X → X be a K-positive def...
AbstractThis paper is concerned with an operator equation on ordered Banach spaces. The existence an...
AbstractLetAandDbe positive operators on a complex Hilbert spaceH. In this work we show that the ope...
summary:In this paper is studied the equation $(^*)x=Tx+f$ in a complex Banach space $X$, its orderi...
AbstractLet E be a separable uniformly smooth Banach space and let A: D(A)⊆E→E be a K-positive defin...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
The principal goal of this work is to investigate new sufficient conditions for the existence and co...
AbstractLet H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingul...
It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when...
AbstractIt was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solut...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
Abstract. In this paper we extend the definition of K-positive definite operators from linear to Fre...
AbstractLet H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingul...
AbstractThe paper studies the equation AX=C for bounded linear operators between Hilbert spaces, giv...
AbstractThe Cayley-Hilbert metric is defined for a real Banach space containing a closed cone. By re...
Abstract. Let X be a real uniformly smooth Banach space and let T: D(T) ⊆ X → X be a K-positive def...
AbstractThis paper is concerned with an operator equation on ordered Banach spaces. The existence an...
AbstractLetAandDbe positive operators on a complex Hilbert spaceH. In this work we show that the ope...
summary:In this paper is studied the equation $(^*)x=Tx+f$ in a complex Banach space $X$, its orderi...
AbstractLet E be a separable uniformly smooth Banach space and let A: D(A)⊆E→E be a K-positive defin...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
The principal goal of this work is to investigate new sufficient conditions for the existence and co...
AbstractLet H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingul...
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