An overview of some recent developments on the Invariant Subspace Problem

• Autorzy: Isabelle Chalendar , Jonathan R. Partington
• Języki publikacji: EN

Abstrakty

EN

This paper presents an account of some recent approaches to the Invariant Subspace Problem. It contains a brief historical account of the problem, and some more detailed discussions of specific topics, namely, universal operators, the Bishop operators, and Read’s Banach space counter-example involving a finitely strictly singular operator.

Słowa kluczowe

EN

Invariant subspace; Universal operator; Weighted shift; Composition operator; Bishop operator; Strictly singular; Finitely strictly singular

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 47A15: Invariant subspaces
• 47B07: Operators defined by compactness properties
• 47B33: Composition operators

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2013
• Tom: 1
• Strony: 1-10

Daty

online

2012-10-23

Twórcy

autor

Isabelle Chalendar

• Université de Lyon; CNRS; Université Lyon 1; INSA de Lyon; Ecole Centrale de Lyon, CNRS, UMR 5208, Institut Camille Jordan 43 bld. du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

autor

Jonathan R. Partington

• School of Mathematics, University of Leeds, Leeds LS2 9JT, U.K.

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Identyfikatory

DOI

10.2478/conop-2012-0001