Tomasz Kania

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math.FA2026

$(λ^{+})$ -injective Banach spaces

Tomasz Kania, Grzegorz Lewicki

In a companion paper (Studia Math., 2023), we proved for every $λ \in (1, 2]$ the existence of a $(λ^{+})$ -injective renorming of $ℓ_{\infty}$ that is not $λ$ -injective, thereby establ…

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…

(λ+)-injective Banach spaces

Raja's covering index of Lp​ spaces

$(λ^{+})$ -injective Banach spaces

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