Subdivisions of the spectra for cesaro, rhaly and weighted mean operators on c(0),c and l(P)
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 subdivisions of spectrum which are not required to be disjoint and Goldberg's classification are given. Moreover, these subdivisions for some summability methods are studied.
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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 ...
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 ...