An extension of the Weyl-von Neumann theorem to normal operators-Reference-Cited by-同舟云学术

An extension of the Weyl-von Neumann theorem to normal operators

Published:1971 Issue:0 Volume:160 Page:365-371
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Berg I. David

Abstract

We prove that a normal operator on a separable Hilbert space can be written as a diagonal operator plus a compact operator. If, in addition, the spectrum lies in a rectifiable curve we show that the compact operator can be made Hilbert-Schmidt.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1971-160-00/S0002-9947-1971-0283610-0/S0002-9947-1971-0283610-0.pdf

Reference3 articles.

1. Ten problems in Hilbert space;Halmos, P. R.;Bull. Amer. Math. Soc.,1970

2. J. von Neumann, Charakterisierung des Spektrums eines Integraloperators, Actualités Sci. Indust., no. 229, Hermann, Paris, 1935.

3. H. Weyl, Über beschränkte quadratischen Formen deren Differenz vollstetig ist, Rend. Circ. Mat. Palermo 27 (1909), 373-392.

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