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Abstract
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Although there exist different types of (well-known) locally convex topologies
on B?H?, the notion of measurability on the set of operator valued functions f : ! B?H? is
unique when H is separable (see [1]). In this current discussion we observe that unlike the
separable case, in the non-separable case we have to face different types of measurability.
Moreover the algebraic operations ‘‘addition and product’’ are not compatible with the set of
operator valued measurable functions.
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