Aluthge transformation on class A (k*) operators. (2022)

• Record Type: Journal Article
• Authors: Ganesh, Y.J.; Jayaprakash, P.; Santhi, R.; Maheswari Naik, P.
• Is Part Of: Materials today. Volume 59:Part 1(2022)
• Page Start: 1045
• Page End: 1048
• Publication Date: 2022
• Subjects: Polar decomposition -- Aluthge transformation -- *-Aluthge transformation -- Class of Ak∗ operators; Materials science -- Congresses -- Periodicals; 620.1
• DOI: 10.1016/j.matpr.2022.02.373
• Languages: English
• ISSNs: 2214-7853

Abstract

Abstract: In this research article, an Aluthge transformation on a class A k ∗ operators are discussed. By utilizing the concepts of polar decomposition, the characterization of Aluthge transformation and *- Aluthge transformation are derived in the form of D ∼ = D 1 2 ∪ D 1 2 is p + 1 2 in the powers of class A k ∗ operators for 0 < p ≤ 1 .