We study the stability of the differential process of Rochberg and Weiss associated with an
analytic family of Banach spaces obtained using the complex interpolation method for …

STABILITY RESULTS ON INTERPOLATION SCALES OF QUASI-BANACH SPACES AND
APPLICATIONS 1. Introduction In this paper we initiate the Page 1 TRANSACTIONS OF THE …

Let $ D $ be a simply connected domain in the complex plane whose boundary $\Gamma $
is a rectifiable simple closed curve. Let $\left\{{A (\gamma)/\gamma\in\Gamma}\right\} $ and …

Polynomial stability of evolution cocycles and Banach function spaces Page 1 Polynomial
stability of evolution cocycles and Banach function spaces Pham Viet Hai Abstract In this …

We give a new proof to show that the complex interpolation for families of Banach spaces is
not stable under rearrangement of the given family on the boundary, although, by a result …

We begin with a review of the basic notions of interpolation theory. Let A=(Ao, A1) be an
interpolation couple of Banach spaces, ie A0 and A1 are Banach spaces which are …

In this paper we prove the following result which solves a question raised by A.
Pelczynski:“Every stable Banach space with an unconditional basis is isomorphic to a …

Our main objective is to consider a concept of nonuniform behavior and obtain appropriate
versions of the well-known stability due to R. Datko and L. Barbashin. This concept has been …

We analyze the problem of stability of linear isometries (SLI) of Banach spaces. Stability
means the existence of a function σ (ε) such that σ (ε)→ 0 as ε→ 0 and for any ε-isometry A of …

Many linear operators T occurring in analysis enjoy one or both of the following
properties:(a) T maps the space of Holder (Lipschitz) continuous functions with exponent a …