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An extension of the Weyl-von Neumann theorem to normal operators. (English) Zbl 0212.15903


MSC:

47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47D03 Groups and semigroups of linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
Full Text: DOI

References:

[1] P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887 – 933. · Zbl 0204.15001
[2] J. von Neumann, Charakterisierung des Spektrums eines Integraloperators, Actualités Sci. Indust., no. 229, Hermann, Paris, 1935. · Zbl 0011.30801
[3] H. Weyl, Über beschränkte quadratischen Formen deren Differenz vollstetig ist, Rend. Circ. Mat. Palermo 27 (1909), 373-392. · JFM 40.0395.01
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