Some properties on extended eigenvalues and extended eigenvectors
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Abstract
In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
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References
[1] Biswas, A., Lambert, A., and Petrovic, S. (2002). Extended eigenvalues and the Volterra operator. Glasg. Math. J, 44(3); 521-534.
[2] Biswas, A. and Petrovic, S. (2006). On extended eigenvalues of operators. Integral Equations and Operator Theory, 55(2); 233-248.
[3] Laruz, M.; Saavedra, F.; Petrovic, S. and Zabeti, O. (2014). Extended eigenvalues for Cesàro operators. arXiv: Math. FA, 1:1403-4844.
[4] Mansour, A. and Hechifa, A. (2016). Some Interesting properties of finite continuous Cesàro operators. AJMAA, 13(1); 1-6.
[5] Gurdal M. (2009). On the extended eigenvalues and extended eigenvectors of shift operator on the Wiener algebra. Applied. Math. Letters, 22:1727-1729.
[6] Lambert, A. (2004). Hyperinvariant subspaces and extended eigenvalues. New York. J. Math, 10:83-88.