Results 1 to 10 of about 482,910 (147)
On the Banach lattice $$c_0$$ [PDF]
Revista Matematica Complutense, 2020 We show that $c_0$ is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. On the other hand, we show that $c_0$ is complemented in the free Banach lattice generated by itself (seen as a Banach space). As a consequence, the free Banach lattice generated by $c_0$ is not projective.
José David Rodriguez Abellan +2 more
exaly +3 more sources
Banach Lattices of Continuous Banach Lattice-Valued Functions [PDF]
Journal of Mathematical Analysis and Applications, 1996 The Banach lattices of scalar-valued continuous functions on compact or locally compact Hausdorff spaces are the important objects both in their own right and also as the tools of studying the underlying topological spaces. In the paper under review, the authors introduce and study the vector-valued analogues of such vector lattices, having a Banach ...
Wickstead, Anthony, Ercan, Z.
openaire +2 more sources
The free Banach lattice generated by a lattice [PDF]
Positivity, 2018 This last version differs from the published version in that it contains a new proof of Lemma 5.3. The previous proof worked for the particular case in which the lemma was applied, but it was wrong for the lemma as stated in ...
José David Rodriguez Abellan +1 more
exaly +3 more sources
Valuations on Banach Lattices [PDF]
International Mathematics Research Notices, 2018 Abstract We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including $L_p(\mu )$, Orlicz spaces, and spaces $C(K)$ of continuous functions on a compact Hausdorff space.
Tradacete, Pedro, Villanueva, Ignacio
openaire +3 more sources
Amalgamation and Injectivity in Banach Lattices [PDF]
International Mathematics Research Notices, 2021 Abstract We study distinguished objects in the category $\mathcal{B}\mathcal{L}$ of Banach lattices and lattice homomorphisms. The free Banach lattice construction introduced by de Pagter and Wickstead [ 8] generates push-outs, and combining this with an old result of Kellerer [ 17] on marginal measures, the amalgamation property of ...
Avilés, A., Tradacete, P.
openaire +3 more sources
Komlós properties in Banach lattices [PDF]
Acta Mathematica Hungarica, 2018 Several Komlós like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Komlós property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base.
Erkursun-Ozcan, NAZİFE +2 more
openaire +3 more sources
Free and projective Banach lattices [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations ...
Wickstead, Anthony, de Pagter, Ben
openaire +4 more sources
Relatively uniform Banach lattices [PDF]
Proceedings of the American Mathematical Society, 1975 Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.
openaire +2 more sources
A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley +1 more source
Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source