波兰科学研究院数学研究所
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作者:Lech Drewnowski , Witold Wnuk
来源:[J].Studia Mathematica(IF 0.549), 2019, Vol.245, pp.129-167IMPAS
摘要:We investigate various questions concerning vector sublattices, $\operatorname {vlt} S$, generated by subsets $S$ of an Archimedean vector lattice $E$. We first prove a distributivity law: $\operatorname {vlt}(X;Y,Z)=\operatorname {vlt}(X,Y)+\nobreakspace {}\operatorname {vlt}(X,...
作者:Paweł Domański , Lech Drewnowski
来源:[J].Studia Mathematica(IF 0.549), 2020, Vol.250, pp.57-107IMPAS
摘要:Various Banach or Fréchet spaces which are either vector-valued sequence spaces or components of some closed operator ideals are considered. Complete solutions are given to the problem of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces. Th...
作者:Lech Drewnowski
来源:[J].Studia Mathematica(IF 0.549), 1993, Vol.104, pp.125-132IMPAS
摘要:It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.
作者:Lech Drewnowski
来源:[J].Studia Mathematica(IF 0.549), 2000, Vol.138, pp.53-80IMPAS
摘要:The area of research of this paper goes back to a 1930 result of H. Auerbach showing that a scalar series is (absolutely) convergent if all its zero-density subseries converge. A series $∑_n x_n$ in a topological vector space X is called ℒ-convergent if each of its lacunary ...
作者:Lech Drewnowski , Artur Michalak
来源:[J].Fundamenta Mathematicae(IF 0.529), 2008, Vol.200, pp.161-184IMPAS
摘要:Given an ordered metric space (in particular, a Banach lattice) $E$,the generalized Helly space $H(E)$ is the set of all increasing functionsfrom the interval $[0,1]$ to $E$ considered with the topology of pointwise convergence,and $E$ is said to have property $(\lambda)$ if each...

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