A Generalization of Aluthge Transformation Using Semi-Hyponormal Operators

Authors

  • 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

Keywords:

Aluthge transform,, , hyponormal operators, semi-hyponormal operators, class A operator,, quasiclass A operator, quasiclass(A,m) operator, posinormal operator, quasiposinormal operator.

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

A.Aluthge, On p-hyponormal operators for 0

Daoxing Xia, Spectral mapping of hyponormal or semi-hyponormal operators ,Journal of mathematical Analysis and Applications 79,409-427(1981)

Daoxing Xia ,On the semi-hyponormal n-tuple of operators ,Integral Equations and Operator Theory Vol.6 (1983)

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.

H. Crawford Rhaly, Posinormal operators,J.Math.Soc.Japan 43 No.4,(1994), 587 -605.

I.H.Kim, On (p,k) quasihyponormal operators,Inequalities. Appl. 7 , No. 8, (2004), 629 - 638

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Published

2016-12-31

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

Issue

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

Section

Articles

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