 When there is a measure "μ" on "E" such that "μ""T" = "T"∗("μ") in this way, it is customary to abuse notation slightly and say that the cylinder set measure formula_10 "is" the measure "μ".When the Banach space "E" is actually a Hilbert space "H", there is a canonical Gaussian cylinder set measure "γ""H" arising from the inner product structure on "H".Specifically, if 〈 , 〉 denotes the inner product on "H", let 〈 , 〉"T" denote the quotient inner product on "F""T".