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Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball Book PDF Summary

This memoir initiates a model theory-based study of the numerical radius norm. Guided by the abstract model theory of Jim Agler, the authors propose a decomposition for operators that is particularly useful in understanding their properties with respect to the numerical radius norm. Of the topics amenable to investigation with these tools, the following are presented: a complete description of the linear extreme points of the non-matrix (numerical radius) unit ball; several equivalent characterizations of matricial extremals in the unit ball, that is, those members which do not allow a nontrivial extension remaining in the unit ball; and applications to numerical ranges of matrices, including a complete parameterization of all matrices whose numerical ranges are closed disks.

Detail Book of Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball PDF

Model Theory and Linear Extreme Points in the Numerical Radius Unit Ball
  • Author : Michael A. Dritschel
  • Release : 20 September 1997
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821806517
  • Genre : Mathematics
  • Total Page : 77 pages
  • Language : English
  • PDF File Size : 16,9 Mb

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A Continuum Limit of the Toda Lattice

A Continuum Limit of the Toda Lattice Author : Percy Deift,Kenneth T-R McLaughlin
Publisher : American Mathematical Soc.
File Size : 41,5 Mb
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In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as i...