G. Lewicki

activity

20102022

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math.FA2022

On the dimension of the set of minimal projections

Tomasz Kobos, Grzegorz Lewicki

Let $X$ be a finite-dimensional normed space and let $Y \subseteq X$ be its proper linear subspace. The set of all minimal projections from $X$ to $Y$ is a convex subset of the spa…

math.FA2022

A forgotten theorem of Pełczyński: $(λ +)$ -injective spaces need not be $λ$ -injective -- the case $λ \in (1, 2]$

Tomasz Kania, Grzegorz Lewicki

Isbell and Semadeni [Trans. Amer. Math. Soc. 107 (1963)] proved that every infinite-dimensional $1$ -injective Banach space contains a hyperplane that is $(2 + ε)$ -injective…

On the dimension of the set of minimal projections

A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective -- the case λ∈(1,2]

A forgotten theorem of Pełczyński: $(λ +)$ -injective spaces need not be $λ$ -injective -- the case $λ \in (1, 2]$