Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remainder theorem is used to derive a number of results. The tensor map is used to formulate solvability conditions for linear matrix equations. Some applications to system theory are given, in particular an application to the regulator problem
A discussion of properties of operator solutions, of relations between operator solutions, and of th...
This paper deals with the solvability of a system of linear operator equations in the linear space. ...
We consider the dynamical system (, Tf), where is a class of differential rea...
Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remain...
AbstractSubstitution of an operator into an operator-valued map is defined and studied. A Bezout-typ...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
Three principles of solvability of operator equations are considered. The first is connected with th...
{If} $\phi:\mathcal{S}\rightarrow\mathcal{T}$ is a completely positive (cp) linear map of operator s...
In order to facilitate symbolic computations with systems of linear functional equations (e.g. integ...
AbstractWe extend work of Christensen and Sinclair on completely bounded multilinear forms to the ca...
We consider a broad class of linear operator equations that includes systems of ordinary differentia...
The aim of the book is to present new results in operator theory and its applications. In particular...
AbstractWe extend to operator polynomials some inertia theorems obtained recently for linear bounded...
Let m, n ≥ 2 be positive integers. Denote by Mm the set of m × m complex matrices and by w (X) the n...
A discussion of properties of operator solutions, of relations between operator solutions, and of th...
This paper deals with the solvability of a system of linear operator equations in the linear space. ...
We consider the dynamical system (, Tf), where is a class of differential rea...
Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remain...
AbstractSubstitution of an operator into an operator-valued map is defined and studied. A Bezout-typ...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
Three principles of solvability of operator equations are considered. The first is connected with th...
{If} $\phi:\mathcal{S}\rightarrow\mathcal{T}$ is a completely positive (cp) linear map of operator s...
In order to facilitate symbolic computations with systems of linear functional equations (e.g. integ...
AbstractWe extend work of Christensen and Sinclair on completely bounded multilinear forms to the ca...
We consider a broad class of linear operator equations that includes systems of ordinary differentia...
The aim of the book is to present new results in operator theory and its applications. In particular...
AbstractWe extend to operator polynomials some inertia theorems obtained recently for linear bounded...
Let m, n ≥ 2 be positive integers. Denote by Mm the set of m × m complex matrices and by w (X) the n...
A discussion of properties of operator solutions, of relations between operator solutions, and of th...
This paper deals with the solvability of a system of linear operator equations in the linear space. ...
We consider the dynamical system (, Tf), where is a class of differential rea...
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