Pusz–Woronowicz’s functional calculus revisited

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2021Embargo end date: 01 Jan 2020 English Publisher:Springer Science and Business Media LLCJournal:Acta Scientiarum Mathematicarum, volume 87, pages 485-503 (issn: 0001-6969, eissn: 2064-8316,

Copyright policy )

Authors: Hatano, Kanae; Ueda, Yoshimichi;

doi: 10.14232/actasm-021-263-6 , 10.48550/arxiv.2012.13072

arXiv: 2012.13072

Pusz–Woronowicz’s functional calculus revisited

- Summary
- Subjects
- Metrics

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)

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

3

Top 10%

Average

Green

bronze

Fields of Science

Fields of Science