Subdivisions of the spectra for generalized difference operator ? ? on the sequence space ? 1
The fine spectrum of the generalized difference operator ? ? defined by a strictly decreasing sequence ? of positive reals on the space ? 1 has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. Following them, we determine the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator of generalized difference operator ? ? on ? 1 . © 2010 American Institute of Physics.
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There are many different ways to subdivide the spectrum of a bounded linear operator; some of them are motivated by applications to physics (in particular, quantum mechanics). In this study, the relationship between the ...
The fine spectrum of the generalized difference operator C-nu defined by a strictly decreasing sequence nu of positive reels on the space l(1) has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. ...
In a series of papers, B. Altay, F. Basar and A. M. Akhmedov recently investigated the spectra and fine spectra for difference operator, considered as bounded operator over various sequence spaces. In the present paper ...