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Theorem 1.5 Let ( E 1, ∥ ⋅ ∥ 1 ) and ( E 2, ∥ ⋅ ∥ 2 ) be two complete random normed modules over K with base ( Ω, F, P ).
Theorem 1.4 Let ( E 1, ∥ ⋅ ∥ 1 ) and ( E 2, ∥ ⋅ ∥ 2 ) be two complete random normed modules over K with base ( Ω, F, P ), f : E 1 → E 2 a surjective random isometry.
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