Means with values in a Banach lattice [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 Means, generalized means and invariant means (on a semigroup) with values in a Banach lattice are defined and studied.
R. Rao Chivukula, I. Ramabhadra Sarma
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A description of the Stone space of Banach lattice C(K,E) [PDF]
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces [PDF]
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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A Generalization of the Hyers-Ulam-Aoki Type Stability of Some Banach Lattice -Valued Functional Equation [PDF]
Extracta Mathematicae, 2018 We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]
, 2002 For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
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The positive cone of a Banach lattice. Coincidence of topologies and metrizability [PDF]
, 2023 summary:Let $X$ be a Banach lattice, and denote by $X_+$ its positive cone. The weak topology on $X_+$ is metrizable if and only if it coincides with the strong topology if and only if $X$ is Banach-lattice isomorphic to $l^1(\Gamma)$ for a set $\Gamma$.
Lipecki, Zbigniew
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Martingale-like sequences in Banach lattices
Modern Stochastics: Theory and Applications, 2018 Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
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Dominated operators from lattice-normed spaces to sequence Banach lattices
, 2020 . We show that every dominated linear operator from a Banach-Kantorovich space over an atomless Dedekind-complete vector lattice to a sequence Banach lattice ℓp(Γ) or c0(Γ) is narrow.
Pliev M., Abasov N., Megahed A.E.M.
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On $p$-convexification of the Banach-Kantorovich lattice [PDF]
E-Journal of Analysis and Applied MathematicsLet $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense ...
Gavhar B. Zakirova
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