Results 21 to 30 of about 18,769 (170)
Some open problems on Banach spaces [PDF]
Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
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Normality of spaces of operators and quasi-lattices
We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved.
S. Heikkilä, Siegfried Carl
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Positive Cohen p-nuclear m-homogeneous polynomials [PDF]
In this paper we introduce the concept of positive Cohen p-nuclear polynomials between Banach lattice spaces. We give an analogue to Pietsch domination theorem and we study some properties concerning this notion.
Asma Hammou+3 more
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On the positive weak almost limited operators
Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi+3 more
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Mean ergodicity vs weak almost periodicity
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
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We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
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On approximate solution of lattice functional equations in Banach f-algebras
The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability
Ehsan Movahednia+3 more
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Positive representations of $C_0(X)$. I
We introduce the notion of a positive spectral measure on a $\sigma$-algebra, taking values in the positive projections on a Banach lattice. Such a measure generates a bounded positive representation of the bounded measurable functions.
de Jeu, Marcel, Ruoff, Frejanne
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Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar+2 more
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