Natalia Ma'slany

collaborators

3 papers

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.OA2023

Differential embeddings into algebras of topological stable rank 1

Tomasz Kania, Natalia Maślany

We identify a class of smooth Banach *-algebras that are differential subalgebras of commutative C*-algebras whose openness of multiplication is completely determined by the topolo…

Raja's covering index of Lp​ spaces

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

Differential embeddings into algebras of topological stable rank 1

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

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