Natalia Ma'slany

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20222025

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math.FA2025

Raja's covering index of $L_{p}$ spaces

Tomasz Kania, Natalia Maślany

We study Raja's covering index $Θ_{X} (n)$ for classical $L_{p}$ -spaces and their non-commutative counterparts. For infinite-dimensional Hilbert spaces we compute the covering index exa…

math.FA2023

On isometries and Tingley's problem for the spaces $T [θ, S_{α}], 1 \leq α < ω_{1}$

Natalia Maślany

We extend the existing results on surjective isometries of unit spheres in the Tsirelson space $T [\frac{1}{2}, S_{1}]$ to the class $T [θ, S_{α}]$ for any integer $θ^{-1} \geq…

math.FA2022

Isometries of combinatorial Tsirelson spaces

Natalia Maślany

We extend existing results that characterize isometries on the Tsirelson-type spaces $T [\frac{1}{n}, S_{1}]$ ( $n \in N, n \geq 2$ ) to the class $T[θ, \mathca…

Raja's covering index of Lp​ spaces

On isometries and Tingley's problem for the spaces T[θ,Sα​],1≤α<ω1​

Isometries of combinatorial Tsirelson spaces

Raja's covering index of $L_{p}$ spaces

On isometries and Tingley's problem for the spaces $T [θ, S_{α}], 1 \leq α < ω_{1}$