Lukasz Piasecki

activity

20152024

most citedA remark on spaces of affine continuous functions on a simplex

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.FA2024

Subspaces of separable $L_{1}$ -preduals: $W_{α}$ everywhere

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki

The spaces $W_{α}$ are the Banach spaces whose duals are isometric to $ℓ_{1}$ and such that the standard basis of $ℓ_{1}$ is $w^{*}$ -convergent to $α \in ℓ_{1}$ . The core result of o…

math.FA2022

Explicit models of $ℓ_{1}$ -preduals and the weak $^{*}$ fixed point property in $ℓ_{1}$

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki

We provide a concrete isometric description of all the preduals of $ℓ_{1}$ for which the standard basis in $ℓ_{1}$ has a finite number of $w^{*}$ -limit points. Then, we apply this…

math.FA2019

Weak $^{*}$ fixed point property and the space of affine functions

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki

First we prove that if a separable Banach space $X$ contains an isometric copy of an infinite-dimensional space $A (S)$ of affine continuous functions on a Choquet simplex $S$ , then…

math.FA2015★ 1 cited

A remark on spaces of affine continuous functions on a simplex

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki

We present an example of an infinite dimensional separable space of affine continuous functions on a Choquet simplex that does not contain a subspace linearly isometric to $c$ . Thi…

math.FA2015

Separable Lindenstrauss spaces whose duals lack the weak $^{*}$ fixed point property for nonexpansive mappings

Emanuele Casini, Enrico Miglierina, Łukasz Piasecki

In this paper we study the $w^{*}$ -fixed point property for nonexpansive mappings. First we show that the dual space $X^{*}$ lacks the $w^{*}$ -fixed point property whenever $X$ contains…

Subspaces of separable L1​-preduals: Wα​ everywhere

Explicit models of ℓ1​-preduals and the weak∗ fixed point property in ℓ1​

Weak∗ fixed point property and the space of affine functions

A remark on spaces of affine continuous functions on a simplex

Separable Lindenstrauss spaces whose duals lack the weak∗ fixed point property for nonexpansive mappings

Subspaces of separable $L_{1}$ -preduals: $W_{α}$ everywhere

Explicit models of $ℓ_{1}$ -preduals and the weak $^{*}$ fixed point property in $ℓ_{1}$

Weak $^{*}$ fixed point property and the space of affine functions

Separable Lindenstrauss spaces whose duals lack the weak $^{*}$ fixed point property for nonexpansive mappings