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Subnormal Operators

  • Paul R. Halmos
Part of the Graduate Texts in Mathematics book series (GTM, volume 19)

Abstract

Every known proof of Fuglede’s theorem can be modified so as to yield this generalized conclusion. Alternatively, there is a neat derivation, via operator matrices, of the statement for two normal operators from the statement for one. Write
$$ \hat A = \left( {\begin{array}{*{20}{c}} {{A_1}}&0\\ 0&{{A_2}} \end{array}} \right)and\hat B = \left( {\begin{array}{*{20}{c}} 0&B\\ 0&0 \end{array}} \right). $$

Keywords

Orthogonal Complement Operator Matrice Partial Isometry Weighted Shift Normal Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • Paul R. Halmos

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