scholarly journals Basic indexes and Aluthge transformation for 2 by 2 matrices

2008 ◽  
pp. 615-628
Author(s):  
Toshiyuki Takasaki
Keyword(s):  
Aluthge Transformation

Binormal operator and *-Aluthge transformation

2008 ◽  
Vol 24 (8) ◽  
pp. 1369-1378 ◽  
Author(s):  
Chang Sen Yang ◽  
Yan Feng Ding
Keyword(s):  
Aluthge Transformation

scholarly journals Parallelism between Moore-Penrose inverse and Aluthge transformation of operators

2018 ◽  
Vol 12 (2) ◽  
pp. 318-335 ◽  
Author(s):  
M.R. Jabbarzadeh ◽  
H. Emamalipour ◽  
Sohrabi Chegeni
Keyword(s):  
Hilbert Space ◽  
Multiplication Operators ◽  
Aluthge Transform ◽  
Aluthge Transformation

In this paper we study some parallelisms between ?-Aluthge transform and binormal operators on a Hilbert space via the Moore-Penrose inverse. Moreover, we give some applications of these results on the Lambert multiplication operators acting on L2(?).

scholarly journals Aluthge Transformation of Quasi n-class Q and quasi n- class Q* Operators

2018 ◽  
Vol 11 (4) ◽  
pp. 1108-1129
Author(s):  
D. Senthilkumar ◽  
S. Parvatham
Keyword(s):  
Composition Operators ◽  
Multiplication Operator ◽  
Weighted Composition Operators ◽  
New Class ◽  
Aluthge Transformation ◽  
Weighted Composition

In this paper, a new class of operators called quasi n-class Q and quasi n-class Q*operators are introduced and studied some properties. Quasi n-class Q and quasi n-class Q* composition and weighted composition operators on L2() and H2() are characterized. Also we discuss quasi n-class Q and quasi n-class Q composite multiplication operator on L2 space and Aluthge transformation of these class of operators are obtained.

scholarly journals On generalized numerical range of the Aluthge transformation

2003 ◽  
Vol 370 ◽  
pp. 147-161 ◽  
Author(s):  
Masatoshi Ito ◽  
Hiroshi Nakazato ◽  
Kazuyoshi Okubo ◽  
Takeaki Yamazaki
Keyword(s):  
Numerical Range ◽  
Aluthge Transformation ◽  
Generalized Numerical Range

Further extensions of aluthge transformation onp-hyponormal operators

1997 ◽  
Vol 29 (1) ◽  
pp. 122-125 ◽  
Author(s):  
Takayuki Furuta ◽  
Masahiro Yanagida
Keyword(s):  
Hyponormal Operators ◽  
Aluthge Transformation

scholarly journals Aluthge Transformation and *- Aluthge Transformation on M class Ak* Operator

2019 ◽  
Vol 8 (12) ◽  
pp. 1277-1280
Keyword(s):  
Hilbert Space ◽  
Hilbert Spaces ◽  
Complex Hilbert Space ◽  
School Work ◽  
New Class ◽  
Class A ◽  
Aluthge Transformation

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.

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