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Free quasi-Banach lattices

open access: yes
We study different versions of \emph{free objects} in the setting of quasi-Banach spaces and quasi-Banach lattices. Special attention is devoted to the free $p$-convex $p$-Banach lattice $\operatorname{FpBL}^{(p)}[E]$ generated by a $p$-natural quasi-Banach space $E$, for which we provide a functional representation by means of operators into $L_p[0,1]$
Salguero-Alarcón, Alberto   +2 more
openaire   +2 more sources

A Generalization of the Hyers-Ulam-Aoki Type Stability of Some Banach Lattice -Valued Functional Equation

open access: yesExtracta 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
doaj  

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