Abstract
In this paper, we introduce the class of (n+k, mBQ) operators acting on a complex Hilbert space H. An operator if T ? B(H) is said to belong to class (n+k, mBQ) if T ?2mT 2(n+k) commutes with (T ?mTn+k)2 equivalently [T ?2mT 2(n+k), (T ?mTn+k )2] = 0, for a positive integers n and m. We investigate algebraic properties that this class enjoys. have. We analyze the relation of this class to (n+k, m)-power class (Q) operators.
Keywords
(n,m)-power Class (Q),Normal ,Binormal operators , n-power class (Q), (BQ) operators , (n+k ,mBQ) operators.
Citations
IRE Journals:
Wanjala Victor , A. M. Nyongesa , Wanjala Wilberforce
"On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals Volume 5 Issue 3 2021 Page 162-164
IEEE:
Wanjala Victor , A. M. Nyongesa , Wanjala Wilberforce
"On class (n+k, mBQ) Operators" Iconic Research And Engineering Journals, 5(3)
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