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arXiv 1007.0113math.OA

Hilbert Modules - Square Roots of Positive Maps

Michael Skeide

英文摘要:

We reflect on the notions of positivity and square roots. We review many examples which underline our thesis that square roots of positive maps related to *-algebras are Hilbert modules. As a result of our considerations we discuss requirements a notion of positivity on a *-algebra should fulfill and derive some basic consequences.

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