On the connected components of the conjugacy class of projectors on ℓp⊕ℓq

Research output: Journal PublicationArticlepeer-review

Abstract

We characterize the projectors P on a Banach space E having the property of being connected to all the other projectors obtained as a conjugation of P. Using this characterization we show an example of a Banach space where the conjugacy class of a projector splits into several path-connected components, and describe the conjugacy classes of projectors onto subspaces of ℓp⊕ℓq with p≠q.

Original languageEnglish
Pages (from-to)446-450
Number of pages5
JournalIndagationes Mathematicae
Volume28
Issue number2
DOIs
Publication statusPublished - 1 Apr 2017
Externally publishedYes

Keywords

  • Components
  • Conjugation
  • Projectors

ASJC Scopus subject areas

  • Mathematics (all)

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