Results 21 to 30 of about 312,213 (278)
Vector spaces with an order unit [PDF]
38 pages, uses XY-pic, Version 2 comments: minor typos corrected.; Version 3 Comments: minor typos corrected; Version 4 Comments: minor typos corrected, hypothesis of Archimedean added to Theorem 4.22, To appear in Indiana Univ.
Paulsen, Vern, Tomforde, Mark
openaire +2 more sources
Collisionless media devoid of intrinsic stresses, for example, a dispersed phase in a multiphase medium, have a much wider variety of space-time structures and features formed in them than collisional media, for example, a carrier, gas, or liquid phase ...
Mikhail A. Bezborodov +4 more
doaj +1 more source
Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space
Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.
Toshiharu Kawasaki +2 more
doaj +1 more source
Ext-LOUDS: A Space Efficient Extended LOUDS Index for Superset Query
Superset query is widely used in object-oriented databases, data mining, and many other fields. Trie is an efficient index for superset query, whereas most existing trie index aim at improving query performance while ignoring storage overheads.
Lianyin Jia +5 more
doaj +1 more source
Subharmonic envelopes for functions on domains
One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
doaj +1 more source
Topological properties and matrix transformations of certain ordered generalized sequence spaces
In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and ...
Manjul Gupta, Kalika Kaushal
doaj +1 more source
Topological aspects in vector optimization problems
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
doaj +1 more source
A short note on band projections in partially ordered vector spaces [PDF]
Consider an Archimedean partially ordered vector space $X$ with generating cone (or, more generally, a pre-Riesz space $X$). Let $P$ be a linear projection on $X$ such that both $P$ and its complementary projection $I - P$ are positive; we prove that the
Jochen Glück
semanticscholar +1 more source
On Archimedean ordered vector spaces and a characterization of simplices [PDF]
We show that a convex subset K K of a linear space is a simplex if and only if it is line compact and every nonempty ...
Gierz, Gerhard, Shekhtman, Boris
openaire +2 more sources
Infinitary properties of valued and ordered vector spaces [PDF]
§1. Introduction.The motivation of this work comes from two different directions: infinite abelian groups, and ordered algebraic structures. A challenging problem in both cases is that of classification. In the first case, it is known for example (cf.
openaire +2 more sources

