Results 91 to 100 of about 1,314 (212)
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
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, 2023 The main goal of this thesis is to find conditions, under which, Banach Lattices are isomorphic either to C(K), where K is compact, or to L1(μ), with respect to the measure μ. In Chapter 1, we give some basic notations and definitions for vector lattices.
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The lattice copies of ℓ∞(Γ)/c0(Γ) in a quotient of a Banach lattice
, 2005 Let E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E, andsuppose that Ea is order dense in E. If E contains a lattice copy of ℓ∞ (equivalently, E ≠ a) then E/Ea contains a lattice copy of ℓ∞/c0, and hence a lattice ...
Wójtowicz, Marek
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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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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 +3 more
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Interpolation of Banach lattices [PDF]
Studia Mathematica, 1985 For each couple \(\bar X=(X_ 0,X_ 1)\) of Banach lattices and each non- negative concave function \(\phi\) let \(\) and \(\phi(\bar X)\) denote the \(\pm\) interpolation spaces of Gustavsson-Peetre respectively the Calderón-Lozanovskij construction. In this note we show that these spaces essentially coincide.
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Weakly compactly generated Banach lattices [PDF]
, 2016 [EN] We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of X such that X coincides with the
Guirao Sánchez, Antonio José +4 more
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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
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Bull Lond Math Soc, 2023 Ravasini D.
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, 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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