International Journal For Research In Mathematics And Statistics

Vol. 2 No. 12 (2016): International Journal For Research In Mathematics And Statistics
Articles

A Generalization of Aluthge Transformation Using Semi-Hyponormal Operators

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  • C. V. Seshaiah,
  • K. Meenambika
C. V. Seshaiah
Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, India
K. Meenambika
Department of Mathematics, Sengunthar Engineering College, Tiruchengode, India
DOI: https://doi.org/10.53555/ms.v2i12.231

Published 2016-12-31

Keywords

  • Aluthge transform,,
  • , hyponormal operators,
  • semi-hyponormal operators,
  • class A operator,,
  • quasiclass A operator,
  • quasiclass(A,m) operator,
  • posinormal operator,
  • quasiposinormal operator.
    • ...More
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How to Cite

Seshaiah, C. V., & Meenambika, K. (2016). A Generalization of Aluthge Transformation Using Semi-Hyponormal Operators. International Journal For Research In Mathematics And Statistics, 2(12), 18–28. https://doi.org/10.53555/ms.v2i12.231

Copyright (c) 2016 gnpublication@

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Abstract

In this paper, different properties of Aluthge transform are defined more generally for any s and t such as s ≥ 0 and t ≥0the Aluthge transformation of an operator B are studied using semihyponormal operators.

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References

  1. A.Aluthge, On p-hyponormal operators for 0

  2. Daoxing Xia, Spectral mapping of hyponormal or semi-hyponormal operators ,Journal of mathematical Analysis and Applications 79,409-427(1981)
  3. Daoxing Xia ,On the semi-hyponormal n-tuple of operators ,Integral Equations and Operator Theory Vol.6 (1983)
  4. A. Uchiyama, Weyl’s Theorem for class A operators, Math.Inequal.Appl. 4, No.1 (2001), 143- 150 [5] I .H. Jeon and I. H. Kim, On operators satisfying T∗ |T2| T ≥ T∗ |T| 2 T, Linear Algebra Appl. 418 (2006), 854 - 862.
  5. H. Crawford Rhaly, Posinormal operators,J.Math.Soc.Japan 43 No.4,(1994), 587 -605.
  6. I.H.Kim, On (p,k) quasihyponormal operators,Inequalities. Appl. 7 , No. 8, (2004), 629 - 638