Open AccessAluthge Transformation and *- Aluthge Transformation on M class Ak * Operator
Author(s) -
P. Shanmugapriya*,
P. Maheswari Naik
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.l3977.1081219
Subject(s) - mathematics , hilbert space , operator (biology) , transformation (genetics) , pure mathematics , class (philosophy) , computer science , artificial intelligence , chemistry , biochemistry , repressor , transcription factor , gene
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.