Pusz--Woronowicz's functional calculus revisited

Abstract

This note is a complement to Pusz--Woronowicz's works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert space operator explanation of their functional calculus, we show that any operator connection type operations (including any operator perspectives) are captured by their functional calculus.

v3:final version; to appear in Acta Sci. Math. (Szeged)

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