Ascent and descent for sets of operators

• Autorzy: Derek Kitson
• Języki publikacji: EN

Abstrakty

EN

We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded operators which is compact-valued and has the projection property.

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A46: Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 2
• Strony: 151-161

Daty

wydano

2009

Twórcy

autor

Derek Kitson

• School of Mathematics, Trinity College, Dublin 2, Ireland

Identyfikatory

DOI

10.4064/sm191-2-3