The Toeplitz-Hausdorff Theorem Revisited: Relating Linear Algebra and Geometry

The Toeplitz-Hausdorff Theorem Revisited: Relating Linear Algebra and Geometry

Gutkin analyzes the original papers of Toeplitz and Hausdorff, then associates with an arbitrary C a linear pencil of hermitian operators. To illustrate his approach, Gutkin derives rough bounds on the size of W(C) in terms of the special attributes of C and he reproduces without proof the much more...

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Veröffentlicht in:The Mathematical intelligencer 2004-12, Vol.26 (1), p.8-14
1. Verfasser: Gutkin, Eugene
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Geometry
Mathematicians
Mathematics
Theory
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Beschreibung
Zusammenfassung:Gutkin analyzes the original papers of Toeplitz and Hausdorff, then associates with an arbitrary C a linear pencil of hermitian operators. To illustrate his approach, Gutkin derives rough bounds on the size of W(C) in terms of the special attributes of C and he reproduces without proof the much more sophisticated estimates of Kippenhahn.
ISSN:0343-6993
1866-7414
DOI:10.1007/BF02985393