Tensor products of Archimedean partially ordered vector spaces

Tensor Products and Nuclearity of Ordered Vector Spaces with Archimedean Order Unit

We introduce the injective tensor products and the projective tensor products of ordered vector spaces with Archimedean order unit and study their functorial properties. The local characterization of a nuclear space is given.

Partially Ordered Topological Spaces

Two Generalizations of Tensor Products, Beyond Vector Spaces

Two successive generalizations of the usual tensor products are given. One can be constructed for arbitrary binary operations, and not only for semigroups, groups or vector spaces. The second one, still more general, is constructed for arbitrary generators on sets. PART 1 : Tensor Products Beyond Vector Spaces 1. Preliminaries Tensor products have lately achieved a significantly greater importa...

Ordered Vector Spaces

Simple consequences of these assumptions are: x>y implies x+z >y+z;x>y implies Xx>Xy for real positive scalarsX; x > 0 if and only if 0>-x. An important class of examples of such V's is due to R. Thrall ; we shall call these spaces lexicographic function spaces (LFS), defining them as follows: Let T be any simply ordered set ; let / be any real-valued function on T taking nonzero values on at m...

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.