AbstractWith an emphasis on general ordered fields we survey relationships of properties of piecewise linear maps on vector spaces. The properties of interest are local and global variations of univalence, openness, onto condition, nonexpansiveness, and orientation and eigenvalue conditions on derivatives
summary:An ordered field is a field which has a linear order and the order topology by this order. F...
AbstractLet Λ be a finite dimensional algebra over an algebraically closed field k. We will investig...
Abstract. We use canonical Markov extensions (Hofbauer towers) to give an explicit con-struction of ...
AbstractWith an emphasis on general ordered fields we survey relationships of properties of piecewis...
Piecewise linear functions defined by p-maps, linear only on a subset of r vectors and components, a...
This note studies some of the basic properties of the category whose objects are finite unions of (o...
We present a number of characterizations of piecewise affine and piecewise linear functions defined ...
For orthogonal vector fields on a von Neumann algebra with values in a Hilbert space, order properti...
We survey all the results concerning piecewise-linear one-dimensional maps, both continuous and disc...
AbstractStability and genericity properties established for polynomial vector fields in the plane, e...
This paper is primarily concerned with the fundamental properties of a linear algebra of finite orde...
AbstractThe concept of permutograph is introduced and properties of integral functions on permutogra...
This paper starts with definitions of convex, cone, pointed and some related properties in a linear ...
In [1.] established a theorem about the linearity of maps, preserving partial orders (obtained from ...
AbstractLet U and V be finite-dimensional vector spaces over a field k, α∈GL(U), β∈GL(V) and I be th...
summary:An ordered field is a field which has a linear order and the order topology by this order. F...
AbstractLet Λ be a finite dimensional algebra over an algebraically closed field k. We will investig...
Abstract. We use canonical Markov extensions (Hofbauer towers) to give an explicit con-struction of ...
AbstractWith an emphasis on general ordered fields we survey relationships of properties of piecewis...
Piecewise linear functions defined by p-maps, linear only on a subset of r vectors and components, a...
This note studies some of the basic properties of the category whose objects are finite unions of (o...
We present a number of characterizations of piecewise affine and piecewise linear functions defined ...
For orthogonal vector fields on a von Neumann algebra with values in a Hilbert space, order properti...
We survey all the results concerning piecewise-linear one-dimensional maps, both continuous and disc...
AbstractStability and genericity properties established for polynomial vector fields in the plane, e...
This paper is primarily concerned with the fundamental properties of a linear algebra of finite orde...
AbstractThe concept of permutograph is introduced and properties of integral functions on permutogra...
This paper starts with definitions of convex, cone, pointed and some related properties in a linear ...
In [1.] established a theorem about the linearity of maps, preserving partial orders (obtained from ...
AbstractLet U and V be finite-dimensional vector spaces over a field k, α∈GL(U), β∈GL(V) and I be th...
summary:An ordered field is a field which has a linear order and the order topology by this order. F...
AbstractLet Λ be a finite dimensional algebra over an algebraically closed field k. We will investig...
Abstract. We use canonical Markov extensions (Hofbauer towers) to give an explicit con-struction of ...
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