Aluthge Transformation and *- Aluthge Transformation on M class Ak * Operator
P.Shanmugapriya1, P. Maheswari Naik2
1P.Shanmugapriya*, Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
2P. Maheswari Naik, Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
Manuscript received on September 16, 2019. | Revised Manuscript received on 24 September, 2019. | Manuscript published on October 10, 2019. | PP: 1277-1280 | Volume-8 Issue-12, October 2019. | Retrieval Number: L39771081219/2019©BEIESP | DOI: 10.35940/ijitee.L3977.1081219
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Abstract: Research works on Operators in Complex Hilbert spaces has been the interest of budding researchers in the recent years. In 1996, Furuta et al studied Aluthge transformation on phyponormal operators. Later, in 2001 yamazaki et al studied Aluthge transformation and powers of operators for class A(k)operator. This work was further carried over by Pannayappan et al and D.Senthil kumar et al. In this school work, we studied Aluthge transformation and *- Aluthge transformation for the new class of operator named M class Ak * operator on a non-zero Complex Hilbert space.
Keywords: Class Ak * Operator, M-class Ak * Operator, Aluthge Transformation
Scope of the Article: Aggregation, Integration, and Transformation