A Characterization of Normal Operators.

Abstract

Let A be a bounded linear operator in a Hilbert space. If A is normal then log(absolute value of ((e to the At)u)) and log(absolute value of ((e to the A prime t)u)) are convex functions for all u not equal to 0. In this paper we prove that these properties characterize normal operators. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1980
Accession Number
ADA093613

Entities

People

  • Luc C. Tartar
  • Shmuel Friedland

Organizations

  • University of Wisconsin–Madison

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  • Abstracts
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  • Mathematics

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  • Linear Algebra

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