Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type 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
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
http://deepblue.lib.umich.edu/bitstream/2027.42/7133/5/bad1333.0001.001.pdfhttp://deepblue.lib.umich...
We consider a broad class of linear operator equations that includes systems of ordinary differentia...
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...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
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...
This paper deals with the solvability of a system of linear operator equations in the linear space. ...
Much of the importance of mathematics lies in its ability to provide theories which are useful in wi...
AbstractMatrix coordinate transformations are defined as substitution operators without requiring an...
In order to facilitate symbolic computations with systems of linear functional equations (e.g. integ...
A discussion of properties of operator solutions, of relations between operator solutions, and of th...
In the past few years operator theorists have been studying the problem of solving systems of simult...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
http://deepblue.lib.umich.edu/bitstream/2027.42/7133/5/bad1333.0001.001.pdfhttp://deepblue.lib.umich...
We consider a broad class of linear operator equations that includes systems of ordinary differentia...
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...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
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...
This paper deals with the solvability of a system of linear operator equations in the linear space. ...
Much of the importance of mathematics lies in its ability to provide theories which are useful in wi...
AbstractMatrix coordinate transformations are defined as substitution operators without requiring an...
In order to facilitate symbolic computations with systems of linear functional equations (e.g. integ...
A discussion of properties of operator solutions, of relations between operator solutions, and of th...
In the past few years operator theorists have been studying the problem of solving systems of simult...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
http://deepblue.lib.umich.edu/bitstream/2027.42/7133/5/bad1333.0001.001.pdfhttp://deepblue.lib.umich...
We consider a broad class of linear operator equations that includes systems of ordinary differentia...