Results 71 to 80 of about 571,685 (162)

Characterization of Best Approximation Points with Lattice Homomorphisms

Journal of Mathematical Extension, 2014
In this paper we prove some characterization theorems in the theory of best approximation in Banach lattices. We use a new idea for finding the best approximation points in an ideal.
H. R. Khademzadeh, H. Mazaheri
doaj  

Pareto optimality for nonlinear infinite dimensional control systems

International Journal of Mathematics and Mathematical Sciences, 1990
In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice.
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou   +1 more
doaj   +1 more source

Banach lattice sums with hereditary Fatou properties

, 2014
We present a characterization of Banach function lattices with the Fatou property generated by the interpolation sum applied to infinite families of Banach lattices with the Fatou property.
Mastylo, Mieczyslaw, Sánchez Pérez, Enrique Alfonso   +1 more
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Banach-stone theorem for Banach lattice valued continuous functions [PDF]

, 2007
Let Chi and Upsilon be compact Hausdor spaces, Epsilon be a Banach lattice and F be an AM space with unit. Let pi : C(X, E) -> C(Upsilon, F) be a Riesz isomorphism such that 0 not subset of f (X) if and only if 0 not subset of pi (f)(Upsilon) for each f ...
Ercan, Z., Onal, S.
core   +1 more source

Sequential weak convergence in the bidual of a Banach lattice

, 1975
Let X X be a Banach lattice with separable dual. Then the bidual X X is the closure of X X under sequential monotone weak convergence.
John L. B. Gamlen
core   +1 more source

Finite Dimensional Chebyshev Subspaces of Lo

Sultan Qaboos University Journal for Science, 2017
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x­-y0||.
Aref K. Kamal
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Isomorphic and isometric copies of $\ell_\infty(\Gamma)$ in duals of Banach spaces and Banach lattices

, 2006
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ denote an infinite set. We give concise proofs of the following results: (1) The dual space $X^*$ contains an isometric copy of $c_0$ iff $X^*$ contains ...
Wójtowicz, Marek
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Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

Abstract and Applied Analysis, 2013
We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen, Lei Li, Risheng Wang, Ya-Shu Wang   +3 more
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Banach lattice AM-algebras

An analogue of Kakutani\u27s representation theorem for Banach lattice algebras is provided. We characterize Banach lattice algebras that embed as a closed sublattice-algebra of $C(K)$ precisely as those with a positive approximate identity $(e_γ)$ such ...
Tradacete, Pedro, Muñoz-Lahoz, David
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems

Abstract and Applied Analysis, 2014
Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some ...
Hongyu Li
doaj   +1 more source