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Slant joint antieigenvalues and antieigenvectors of operators in normal subalgebras |
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| Authors: | Morteza Seddighin |
| Affiliation: | Department of Mathematics, Indiana University East, USA |
| Abstract: | We will study the slant joint antieigenvalues and antieigenvectors of pairs of operators that belong to the same closed normal subalgebra of the algebra of bounded operators on a separable Hilbert space. This extends the slant antieigenvalue theory from single normal operators to pairs of normal operators. Our results may be viewed as extensions of the Greub-Rheinboldt inequality from two positive operators to two normal operators. |
| Keywords: | Antieigenvalue Antieigenvector Weighted antieigenvalue Weighted antieigenvector Slant antieigenvalue Slant antieigenvector Slant joint antieigenvalue Slant joint antieigenvector Normal subalgebra |
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