Subscalarity of $k$-quasi-class $A$ operators

Authors

  • M. H. M. Rashid Department of Mathematics, Faculty of Science P. O. Box(7), Mu’tah university, AlKarak-Jordan

DOI:

Keywords:

Class $A$ operator, $k$-quasi-class $A$ operators, invariant subspace, subscalar

Abstract

In this paper, we show that every $k$-quasi-class $A$ operator has a scalar extension and give some spectral properties of the scalar extensions of $k$-quasi-class $A$ operators. As a corollary, we get that such an operator with rich spectrum has a nontrivial invariant subspace.

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Published

2019-06-25

Issue

Vol. 25 No. 2 (2019)

Section

Articles

How to Cite

Rashid, M. H. M. “Subscalarity of $k$-Quasi-Class $A$ Operators”. Methods of Functional Analysis and Topology, vol. 25, no. 2, June 2019, pp. 177-88, https://zen.imath.kiev.ua/index.php/mfat/article/view/721.