SOME BANACH SPACES OF MEASURABLE OPERATOR-VALUED
FUNCTIONS
Abstract: Some classes of Banach spaces of measurable operator-valued functions which are
-integrable with respect to a certain operator-valued measure are introduced. As a special
case one obtains the Hilbert space of square-integrable operator-valued functions known from
the theory of stationary processes. The form of the bounded antilinear functional, the
denseness of the step functions, and some relations between these Banach spaces are
investigated.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -