Results 31 to 40 of about 19,014 (240)
Journal of Kufa for Mathematics and Computer, 2010 In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan +1 more
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Some open problems on Banach spaces [PDF]
Математичні Студії, 2012 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
, 2015 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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Positive Cohen p-nuclear m-homogeneous polynomials [PDF]
Surveys in Mathematics and its Applications, 2023 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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Bibasic sequences in Banach lattices [PDF]
Journal of Functional Analysis, 2020 Given a Schauder basic sequence $(x_k)$ in a Banach lattice, we say that $(x_k)$ is bibasic if the expansion of every vector in $[x_k]$ converges not only in norm, but also in order. We prove that, in this definition, order convergence may be replaced with uniform convergence, with order boundedness of the partial sums, or with norm boundedness of ...
M.A. Taylor, V.G. Troitsky
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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
Boundary Value Problems, 2005 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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On the positive weak almost limited operators
Arab Journal of Mathematical Sciences, 2015 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
, 2018 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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Mathematische Zeitschrift, 1977 A Banach lattice E (over the field of reals) is said to be injective if, for every Banach lattice G, every closed linear sublattice F of G and every positive linear operator u: F--*E, there is a positive linear extension v: G . E with IIv[I = Ilull.
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Abstract and Applied Analysis, 2011 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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