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Symmetric anti-eigenvalue and symmetric anti-eigenvector |
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| Authors: | SkM Hossein KC Das |
| Institution: | a Department of Mathematics, Jhargram Raj College, Vidyasagar University, Jhargram, Paschim Midnapore 721507, West Bengal, India b Department of Mathematics, Jadavpur University, Kolkata 700032, India c Department of Mathematics, The University of Texas-Pan American, 1201 West University Drive, Edinburg, TX 78539, USA |
| Abstract: | The idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear operator T on a Hilbert space H is introduced. The structure of symmetric anti-eigenvectors of a self-adjoint and certain classes of normal operators is found in terms of eigenvectors. The Kantorovich inequality for self-adjoint operators and bounds for symmetric anti-eigenvalues for certain classes of normal operators are also discussed. |
| Keywords: | Symmetric anti-eigenvalues Bounded linear operator Self-adjoint operator Normal operator |
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