Bounded continuous vector-valued functions on a locally compact space.

Vector-valued Invariant Means on Spaces of Bounded Operators Associated to a Locally Compact Group

The purpose of this paper is to introduce and study the notion of a vector-valued π-invariant mean associated to a unitary representation π of a locally compact groupG on S, a self-adjoint linear subspace containing I of B(Hπ). We obtain, among other results, an extension theorem for π-invariant completely positive maps and π-invariant means which characterizes amenability of G. We also study v...

Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions

We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.

On images of continuous functions from a compact manifold to Euclidean space

compact composition operators on real banach spaces of complex-valued bounded lipschitz functions

we characterize compact composition operators on real banach spaces of complex-valued bounded lipschitz functions on metric spaces, not necessarily compact, with lipschitz involutions and determine their spectra.

Space Curves and Vector-Valued Functions

has the unit circle as its graph, but these equations do not represent the same curve— because the circle is traced out in different ways on the graphs. Be sure you see the distinction between the vector-valued function and the real-valued functions and All are functions of the real variable but is a vector, whereas and are real numbers for each specific value of . Vector-valued functions serve...