Abstract
Recently we have presented several structural results on certain isometries of spaces of positive definite matrices and on those of unitary groups. The aim of this paper is to put those previous results into a common perspective and extend them to the context of operator algebras, namely, to that of von Neumann factors.
Dedicated to Professor Charles J.K. Batty on the occasion of his 60th birthday.
Mathematics Subject Classification (2010). Primary: 47B49. Secondary: 46L40.
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Molnár, L. (2015). General Mazur–Ulam Type Theorems and Some Applications. In: Arendt, W., Chill, R., Tomilov, Y. (eds) Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Operator Theory: Advances and Applications, vol 250. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18494-4_21
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DOI: https://doi.org/10.1007/978-3-319-18494-4_21
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-319-18494-4
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