On Class (N+K)-Power (BD) Operators

• Author(s): Wanjala Victor ; Peter Kiptoo Rutto ; Wanjala Wilberforce
• Paper ID: 1702852
• Page: 156-158
• Published Date: 30-09-2021
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 5 Issue 3 September-2021

Abstract

In this paper, we introduce the class of (n+k)-power (BD) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class(n+k)-power (BD) if T *2 (TD) 2 commutes with (T *TD)2 equivalently [T *2 (TD) 2, (T *TD)2] = 0. We investigate the properties of this class and we also analyze the relation of this class to (n+k)-power D-operator

Keywords

D-operator, Normal, N Quasi D-operator, complex symmetric operators, n-power D-operator , (BD) operators.

Citations

IRE Journals:
Wanjala Victor , Peter Kiptoo Rutto , Wanjala Wilberforce "On Class (N+K)-Power (BD) Operators" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 156-158

IEEE:
Wanjala Victor , Peter Kiptoo Rutto , Wanjala Wilberforce "On Class (N+K)-Power (BD) Operators" Iconic Research And Engineering Journals, 5(3)