rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: On the structure of a class of operators
  name:
    name part: Hamid, Sami M., 1974-
    role:
      role term: creator
  name:
    name part: Pearcy, Carl M.
    role:
      role term: thesis advisor.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: txu
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: remote
  abstract: In this dissertation we study certain classes of operators on a separable, complex ,infinite dimensional Hilbert space H, specifically from the point of view of properties of the hyperlattice (i.e., lattice of hyperinvariant subspaces) for such operators. We show that every (BCP)-operator in C₀₀ is hyperquasisimilar to a quasidiagonal (BCP)-operator in C₀₀. Moreover we show that there exists a fixed block diagonal (BCP)-operator B[subscript]u with the property that if every compact perturbation B[subscript]u + K of B[subscript]u in(BCP) and C₀₀ with llKll< [E] has a nontrivial hyperinvariant subspace, then every nonscalar operator on H has a nontrivial hyperinvariant subspace. This shows that the study of the structure of the hyperlattice of an arbitrary operator on Hilbert space is essentially equivalent to the study of the hyperlattice structure of some much smaller, special classes of operators, and it is these on which we concentrate. Moreover, we study some special subclasses (B[theta]) and (S[theta]) of the class of in-vertible (BCP)-operators with a view of obtaining some insight into the problem of determining the structure of operators in these classes.
  note: by Sami M. Hamid.
  note: "Major Subject: Mathematics"
  note: Title from author supplied metadata (automated record created on Sep. 21, 2005.)
  note: Vita.
  note: Abstract.
  note: Electronic resource.
  note: Mode of access: World Wide Web.
  note: System requirements: World Wide Web access and Adobe Acrobat Reader.
  note: Ph. D. Texas A&M University 2005.
  note: Includes bibliographical references.
  note: Text (Dissertation).
  subject:
    topic: Major mathematics
  subject:
    topic: (BCP)-operators
  identifier: http://hdl.handle.net/1969.1/2354
  record info:
    record content source: TXA
    record creation date: 051006
    record change date: 20151102133341.0
    record identifier: in00002076699