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.
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Communicated by L. Molnár
Supported by Grant-in-Aid for Scientific Research (B) JP18H01122.
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Hatano, K., Ueda, Y. Pusz–Woronowicz’s functional calculus revisited. ActaSci.Math. 87, 485–503 (2021). https://doi.org/10.14232/actasm-021-263-6
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DOI: https://doi.org/10.14232/actasm-021-263-6