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| Paper IPM / M / 16536 | ||||||||||||||||
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| Abstract: | ||||||||||||||||
Suppose that Z is a locally compact Hausdorff space and Ψ,Φ: E→ F are C0(Z) -module maps between
Hilbert C0(Z) -modules such that for every x , y ∈ E, x⊥y implies Ψ(x) ⊥Φ(y). Then there exists a
bounded complex function ϕ on Z that is continuous on
ZE = {z ∈ Z : 〈x , x 〉(z) ≠ 0 for
some x ∈ E } and satisfies
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