CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

On Operators with Spectral Square but without Resolvent Points

  Published:2005-02-01
 Printed: Feb 2005
  • Paul Binding
  • Vladimir Strauss
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Decompositions of spectral type are obtained for closed Hilbert space operators with empty resolvent set, but whose square has closure which is spectral. Krein space situations are also discussed.
Keywords: unbounded operators, closed operators, spectral resolution, indefinite metric unbounded operators, closed operators, spectral resolution, indefinite metric
MSC Classifications: 47A05, 47A15, 47B40, 47B50, 46C20 show english descriptions General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
Invariant subspaces [See also 47A46]
Spectral operators, decomposable operators, well-bounded operators, etc.
Operators on spaces with an indefinite metric [See also 46C50]
Spaces with indefinite inner product (Kreiin spaces, Pontryagin spaces, etc.) [See also 47B50]
47A05 - General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47A15 - Invariant subspaces [See also 47A46]
47B40 - Spectral operators, decomposable operators, well-bounded operators, etc.
47B50 - Operators on spaces with an indefinite metric [See also 46C50]
46C20 - Spaces with indefinite inner product (Kreiin spaces, Pontryagin spaces, etc.) [See also 47B50]
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/