Journal of Frame and Matrix Theory

Journal of Frame and Matrix Theory

Generalized frame generators for unitary systems on Hilbert spaces

Document Type : Original Article

Authors
1 Ferdowsi University of Mashhad
2 Ferdowsi University Of Mashhad Iran
Abstract
In this paper, we study the concept of generalized Bessel (frames,
Riesz basis and othonormal basis) generators for a unitary system of operators
on a separable Hilbert space. Some characterizations of these generators are
presented in term of a generalized wandering generator for the unitary system.
Also it is prove that the set of wandering generator for a unitary system is
closed under some combinations.
Keywords

Subjects


Volume 2, Issue 1
April 2025
Pages 9-22

  • Receive Date 05 August 2024
  • Revise Date 14 December 2024
  • Accept Date 08 January 2025