Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability Articles uri icon

authors

  • GALLARDO GUTIERREZ, EVA
  • GONZALEZ DOÑA, FRANCISCO JAVIER

publication date

  • July 2025

issue

  • 2

volume

  • 289

International Standard Serial Number (ISSN)

  • 0022-1236

Electronic International Standard Serial Number (EISSN)

  • 1096-0783

abstract

  • We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias

subjects

  • Mathematics

keywords

  • compact perturbations of normal operators; invariant subspaces; spectral subspaces; decomposable operators