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1702855 Vol 5 · Issue 3 Download Paper

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.

References

[1] Eiman H. Abood and Mustafa A. Al-loz., On some generalizations of (n,m)-normal powers operators on Hilbert space , Journal of progressive research in mathematics , Vol. 7(3) (2016) , 2395 -0218.

[2] Jibril, A.A.S.., On Operators for which T ∗2(T)2 = (T ∗T)2, international mathematical forum, vol. 5(46) ,2255-2262.

[3] S. Paramesh, D. Hemalatha and V.J. Nirmala., A study on n-power class (Q)operators, international research journal of engineering and technology, vol.6(1), (2019), 2395-0056.

[4] wanjala Victor and A.M. Nyongesa., On (α, β)-class (Q) Operators, internationaljournal of mathematics and its applications, vol. 9(2) (2021), 111-113.

[5] Wanjala Victor and Beatrice AdhiamboObiero., On almost class (Q) andclass (M,n) operators ,international journal of mathematics and its applications ,vol. 9(2) (2021), 115-118.

[6] Wanjala Victor and Beatrice AdhiamboObiero., On class (BQ) operators, Global Journal of advanced research, vol. 8 (4) (2021), 118-120.

[7] Wanjala Victor and Peter KiptooRutto., K* Quasi-n- Class (Q) Operators, international journal of mathematics and its applications, vol. 9 (2) (2021), 189-193.

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, Sep. 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, Sep. 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},
  }