Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615918 | Journal of Mathematical Analysis and Applications | 2014 | 12 Pages |
Abstract
We say that a complex number λ is an extended eigenvalue of a bounded linear operator T on a Hilbert space HH if there exists a nonzero bounded linear operator X acting on HH, called extended eigenvector associated to λ , and satisfying the equation TX=λXTTX=λXT. In this paper we describe the sets of extended eigenvalues and extended eigenvectors for the product of a positive and a self-adjoint operator which are both injective. We also treat the case of normal operators.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gilles Cassier, Hasan Alkanjo,