Some Properties of Algebraically Paranormal Operator

Zaman Adel  Rashid; Buthainah A.A.  Ahmed

doi:10.24996/ijs.2022.63.8.31

Some Properties of Algebraically Paranormal Operator

Authors

Zaman Adel Rashid Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Buthainah A.A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.8.31

Keywords:

Weyl's Theorem, Algebraically paranormal operator, Polaroid Operator

Abstract

Through this study, the following has been proven, if is an algebraically paranormal operator acting on separable Hilbert space, then satisfies the ( ) property and is also satisfies the ( ) property for all . These results are also achieved for ( ) property.

In addition, we prove that for a polaroid operator with finite ascent then after the property ( ) holds for for all .

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Published

2022-08-31

Issue

Vol 63 No 8 (2022)

Section

Mathematics

How to Cite

[1]

Z. A. . Rashid and B. A. . Ahmed, “Some Properties of Algebraically Paranormal Operator”, Iraqi Journal of Science, vol. 63, no. 8, pp. 3587–3591, Aug. 2022, doi: 10.24996/ijs.2022.63.8.31.