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Extended spectrum, extended eigenspaces and normal operators.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2014, Vol. 418 Issue 1, p305-316. 12p. - Publication Year :
- 2014
-
Abstract
- Abstract: We say that a complex number λ is an extended eigenvalue of a bounded linear operator T on a Hilbert space if there exists a nonzero bounded linear operator X acting on , called extended eigenvector associated to λ, and satisfying the equation . 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 418
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95884668
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.03.062