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1702855PublishedVol 5 · Issue 3

On class (n+k, mBQ) Operators

Wanjala Victor A. M. Nyongesa Wanjala Wilberforce

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematics

Abstract

In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2 equivalently [T ?2mT 2(n+k), (T ?mTn+k )2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. have. We analyze the relation of this class to (n+k, m)-power class (Q) operators.

Keywords

(n,m)-power Class (Q),Normal ,Binormal operators , n-power class (Q), (BQ) operators , (n+k ,mBQ) operators.

How to cite this paper

Wanjala Victor, A. M. Nyongesa, Wanjala Wilberforce "On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 162-164
Wanjala Victor, A. M. Nyongesa, Wanjala Wilberforce "On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021
Wanjala Victor, A. M. Nyongesa, Wanjala Wilberforce (2021). On class (n+k, mBQ) Operators. Iconic Research And Engineering Journals, 5(3).
Wanjala Victor, A. M. Nyongesa, Wanjala Wilberforce "On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals, vol. 5, no. 3, Oct. 2021.
@article{1702855,
      author = {Wanjala Victor, A. M. Nyongesa, Wanjala Wilberforce},
      title = {On class (n+k, mBQ) Operators},
      journal = {Iconic Research And Engineering Journals},
      year = {2021},
      volume = {5},
      number = {3},
      pages = {162-164},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702855.pdf},
      abstract = {In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space
H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2   equivalently [T ?2mT 2(n+k), (T ?mTn+k )2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys.
have. We analyze the relation of this class to (n+k, m)-power class (Q) operators.},
      keywords = {(n,m)-power Class (Q),Normal ,Binormal operators , n-power class (Q), (BQ) operators , (n+k ,mBQ) operators.},
      month = {September},
  }