Compact operators without extended eigenvalues

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

A complex number lambda is called an extended eigenvalue of a bounded linear operator T on a Banach space B if there exists a non-zero bounded linear operator X acting on B such that XT = lambda TX. We show that there are compact quasinilpotent operators on a separable Hilbert space, for which the set of extended eigenvalues is the one-point set {1}.
Original languageEnglish
Pages (from-to)455-462
Number of pages8
JournalJournal of Mathematical Analysis and its Applications
Volume332
Issue number1
Publication statusPublished - 01 Aug 2007

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Compact operators without extended eigenvalues'. Together they form a unique fingerprint.

Cite this