N-(n, m)-D-quasi operator

Authors

  • Ali NOORI YASSER University of Dhi Qar
  • HADEEL ALI SHUBBER
  • Chaouki Aouiti

DOI:

https://doi.org/10.32792/jeps.v16i2.908

Keywords:

N-(n, m)-D-quasi operator, N quasi D-operator, Drazin inverse

Abstract


In this paper, We provide a novel class of bounded linear operators on a Hilbert space that we refer to as N-(n, m)-D-quasi operator, defined through an operator identity that relies on the Drazin inverse. We study their fundamental structure and prove their stability undertaking powers, restriction to invariant subspaces, and unitary equivalence. We also analyze their behavior under algebraic operations such as sums and products and show that the class is preserved under direct sums and tensor products, supported by examples highlighting the main features of this class.

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Published

2026-06-01

Issue

Vol. 16 No. 2 (2026): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

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