Quasi-Banach spaces of almost universal disposition

摘要: Abstract We show that for each p ∈ ( 0 , 1 ] there exists a separable p-Banach space G of almost universal disposition, is, having the following extension property: e > and isometric embedding g : X → Y where is finite-dimensional subspace an e-isometry f such x = ) all . Such unique, up to isometries, does contain copy has remarkable property being “locally injective” amongst spaces. also present nonseparable generalization which disposition spaces “separably injective”. No separably injective was previously known