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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.
DOI: 10.14232/actasm-021-263-6
AMS Subject Classification
(1991): 47A60; 47A64
Keyword(s):
functional calculus,
operator connection,
operator perspective,
convexity
received 3.1.2021, revised 28.8.2021, accepted 31.8.2021. (Registered under 13/2021.)
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