Über die Approximation von linearen Glechungen zweiter Art und Eigenwertproblemen in Banach-Räumen.
Über die Konvergenzgeschwindigkeit projektiver Verfahren. II.
Universal stability of Banach spaces for ε -isometries
Let X, Y be real Banach spaces and ε > 0. A standard ε-isometry f: X → Y is said to be (α,γ)-stable (with respect to for some α,γ > 0) if T is a linear operator with ||T|| ≤ α such that Tf- Id is uniformly bounded by γε on X. The pair (X,Y) is said to be stable if every standard ε-isometry f: X → Y is (α,γ)-stable for some α,γ > 0. The space X[Y] is said to be universally left [right]-stable if (X,Y) is always stable for every Y[X]. In this paper, we show that universally right-stable...