Norm attaining operators and pseudospectrum

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

It is shown that if $11$, the operator $I+T$ attains its norm. A reflexive Banach space $X$ and a bounded rank one operator $T$ on $X$ are constructed such that $\|I+T\|>1$ and $I+T$ does not attain its norm.
Original languageEnglish
Pages (from-to)115-136
Number of pages22
JournalIntegral Equations and Operator Theory
Volume64
Issue number1
Publication statusPublished - May 2009

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

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