Hans Jarchow

Self-induced compactness in Banach spaces

The question which led to the title of this note is the following: {\it If

Chapter 11 – Operator Ideals

X

SOME FUNCTIONAL ANALYTIC PROPERTIES OF COMPOSITION OPERATORS

is a Banach space and

On mackey convergence in locally convex spaces

K

The domain space of an analytic composition operator

is a compact subset of

On Certain Locally Convex Topologies on Banach Spaces

X

Topological Vector Spaces

, is it possible to find a compact, or even approximable, operator

Nuclear locally convex spaces

v:X\to X

Some Factorization Properties of Composition Operators

such that

Norms Related to Binomial Series

K\subset\ol{v(B_X)}