Geodesic
The Toeplitz-Hausdorff Theorem Explained
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 245-246

Voir la notice de l'article provenant de la source Cambridge University Press

Paul Halmos expressed [3, p. 110] the general dissatisfaction with the usual proofs of this famous and important theorem. They all make it seem like an accidental product of a computation. A more conceptual proof was devised by N. P. Dekker. In spite of the elegance of his proof, the one offered below may have some claim to be regarded as "the reason the theorem is true". 
Davis, Chandler. The Toeplitz-Hausdorff Theorem Explained. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 245-246. doi: 10.4153/CMB-1971-042-7
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[1] 1. Davis, Ch., The shell of a Hilbert-space operator—II. Acta Sci. Math, (to appear). Google Scholar

[2] 2. Dekker, N. P., Joint numerical range and joint spectrum of Hilbert space operators, Amsterdam thesis, 1969. Google Scholar

[3] 3. Halmos, P. R., A Hilbert space problem book, Van Nostrand, Princeton, N.J., 1967. Google Scholar

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