Geodesic
On Convergence of Functions of Normal Operators in Strong Operator Topology
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 93-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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The theorem in [E. B. Davies, J. London Math. Soc. (2), 4, 435–436 (1972)] is extended. As a corollary, Kadison's theorem on strong continuity of operator functions is refined.
Keywords: normal operator, operator function, strong operator topology. 
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O. E. Tikhonov. On Convergence of Functions of Normal Operators in Strong Operator Topology. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 93-95. http://geodesic.mathdoc.fr/item/FAA_2007_41_3_a7/

[1] E. B. Davies, J. London Math. Soc. (2), 4 (1972), 435–436 | DOI | MR | Zbl

[2] R. V. Kadison, Pacific J. Math., 26 (1968), 121–129 | DOI | MR | Zbl

[3] M. Takesaki, Theory of operator algebras I, Springer-Verlag, Berlin–Heidelberg–New York, 1979 | MR

[4] S. Strǎtilǎ, Modular theory in operator algebras, Editura Academiei, Bucuresti; Abacus Press, Tunbridge Wells, Kent, 1981 | MR

[5] O. E. Tikhonov, Izv. VUZov, matem., 1987, no. 1, 77–79 | MR | Zbl