Continuity versus boundedness of the spectral factorization mapping

Holger Boche, Volker Pohl

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping is continuous or bounded. It is shown that is continuous if and only if the Riesz projection is bounded on the algebra, and that is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, can never be both continuous and bounded, on any algebra under consideration.

Original languageEnglish
Pages (from-to)131-145
Number of pages15
JournalStudia Mathematica
Volume189
Issue number2
DOIs
StatePublished - 2008
Externally publishedYes

Keywords

  • Boundedness
  • Continuity
  • Non-linear operators
  • Spectral factorization

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