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Finite Elements in Vector Lattices
"... Mar tin R. Web er ( Dr es d en) Abstract. In vector lattices of continuous functions on a locally com p act H ausdorff space a natural and im portant role play the fi nite functions, i. e. continuous fu nctions w ith a com pact support. F inite and totally fi nite elem ents are the abstract notion o ..."
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Mar tin R. Web er ( Dr es d en) Abstract. In vector lattices of continuous functions on a locally com p act H ausdorff space a natural and im portant role play the fi nite functions, i. e. continuous fu nctions w ith a com pact support. F inite and totally fi nite elem ents are the abstract notion
Production equilibria in vector lattices
 Econom. Theory
"... Abstract The general purpose of this paper is to prove quasiequilibrium existence theorems for production economies with general consumption sets in an infinite dimensional commodity space, without assuming any monotonicity of preferences or freedisposal in production. The commodity space is a vec ..."
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vector lattice commodity space whose topological dual is a sublattice of its order dual. We formulate two kinds of properness concepts for agents' preferences and production sets, which reduce to more classical ones when the commodity space is locally convex and the consumption sets coincide
BOOLEAN METHODS IN THE THEORY OF VECTOR LATTICES
, 2006
"... Abstract. This is an overview of the recent results of interaction of Boolean valued analysis and vector lattice theory. ..."
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Abstract. This is an overview of the recent results of interaction of Boolean valued analysis and vector lattice theory.
VECTOR LATTICES OF ALMOST POLYNOMIAL SEQUENCES.
"... Abstract. We study the order structure, various duals and orthomorphisms on vector lattices of sequences that differ from a polynomial (either of bounded or unbounded degree) by a sequence in `p. 1. Introduction. In [12] the suggestion was made of replacing a complete order unit norm on a vector la ..."
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Abstract. We study the order structure, various duals and orthomorphisms on vector lattices of sequences that differ from a polynomial (either of bounded or unbounded degree) by a sequence in `p. 1. Introduction. In [12] the suggestion was made of replacing a complete order unit norm on a vector
On finite elements in vector lattices and Banach lattices
 Math. Nachrichten
"... Key words Vector lattice, Banach lattice, finite element, order continuous norm ..."
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Key words Vector lattice, Banach lattice, finite element, order continuous norm
FREE IGROUPS AND VECTOR LATTICES
 J. AUSTRAL. MATH. SOC. 19 (SERIES A) (1975), 337342.
, 1975
"... The purpose of this paper is to present three somewhat disparate results on free objects in three different classes of /groups. The first is that no proper ideal of a finitely generated free vector lattice can itself be a free vector lattice. Second, each free abelian /group is characteristically ..."
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The purpose of this paper is to present three somewhat disparate results on free objects in three different classes of /groups. The first is that no proper ideal of a finitely generated free vector lattice can itself be a free vector lattice. Second, each free abelian /group is characteristically
VECTOR LATTICES OF ALMOST POLYNOMIAL FUNCTIONS.
"... Abstract. We study the order structure, various duals and orthomorphisms on vector lattices of functions on [1,∞) that differ from a polynomial (either of bounded or unbounded degree) by a function in one of Lp [1,∞)), C0([1,∞)) or C0([1,∞)). ..."
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Abstract. We study the order structure, various duals and orthomorphisms on vector lattices of functions on [1,∞) that differ from a polynomial (either of bounded or unbounded degree) by a function in one of Lp [1,∞)), C0([1,∞)) or C0([1,∞)).
Functional calculus and Minkowski duality on vector lattices
 Vladikavkaz Math
"... To ¸Safak Alpay on his sixtieth birthday The paper extends homogeneous functional calculus on vector lattices. It is shown that the function of elements of a relatively uniformly complete vector lattice can naturally be defined if the positively homogeneous function is defined on some conic set and ..."
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To ¸Safak Alpay on his sixtieth birthday The paper extends homogeneous functional calculus on vector lattices. It is shown that the function of elements of a relatively uniformly complete vector lattice can naturally be defined if the positively homogeneous function is defined on some conic set
Duality theorems for finitely generated vector lattices
 Proc. London Math. Soc
, 1975
"... In this paper some duality theorems for finitely generated latticeordered abelian groups and vector lattices are developed. The first two sections are based upon a paper by Kirby Baker ([1]), and are concerned with ..."
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Cited by 12 (0 self)
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In this paper some duality theorems for finitely generated latticeordered abelian groups and vector lattices are developed. The first two sections are based upon a paper by Kirby Baker ([1]), and are concerned with
Results 1  10
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2,566