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• W1507179940 startingPage "113" @default.
• W1507179940 abstract "A certain class of matrix-valued Borel matrix functions is introduced and it is shown that all functions of that class naturally operate on any operator T in a finite type I von Neumann algebra M in a way such that uniformly bounded sequences f_1,f_2,... of functions that converge pointwise to 0 transform into sequences f_1[T],f_2[T],... of operators in M that converge to 0 in the *-strong operator topology. It is also demonstrated that the double *-commutant of any such operator T which acts on a separable Hilbert space coincides with the set of all operators of the form f[T] where f runs over all function from the aforementioned class. Some conclusions concerning so-called operator-spectra of such operators are drawn and a new variation of the spectral theorem for them is formulated." @default.
• W1507179940 created "2016-06-24" @default.
• W1507179940 creator A5011006691 @default.
• W1507179940 date "2016-01-01" @default.
• W1507179940 modified "2023-10-17" @default.
• W1507179940 title "Non-commutative functional calculus in finite type I von Neumann algebras" @default.
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• W1507179940 doi "https://doi.org/10.3318/pria.2016.116.10" @default.
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