“…But the converse is false in general ( [5], this is the 1984-Example). If µ is a generalized quasi-rotationally invariant cylindrical measure, then the converse is true [6]. Of course, γ and rotationally invariant cylindrical measures and quasi-rotationally invariant cylindrical measures are generalized quasi-rotationally invariant cylindrical measures.…”
In this paper, we construct an example of a cylindrical measure µ and a norm · such that · is µ-measurable by Dudley et al. and not µ-measurable by Gross and moreover is γ -measurable.
“…But the converse is false in general ( [5], this is the 1984-Example). If µ is a generalized quasi-rotationally invariant cylindrical measure, then the converse is true [6]. Of course, γ and rotationally invariant cylindrical measures and quasi-rotationally invariant cylindrical measures are generalized quasi-rotationally invariant cylindrical measures.…”
In this paper, we construct an example of a cylindrical measure µ and a norm · such that · is µ-measurable by Dudley et al. and not µ-measurable by Gross and moreover is γ -measurable.
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