Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896754 | Journal of Functional Analysis | 2018 | 33 Pages |
Abstract
In this paper, we present a complete spectral research of generalized Cesà ro operators on Sobolev-Lebesgue sequence spaces. The main idea is to subordinate such operators to suitable C0-semigroups on these sequence spaces. We introduce that family of sequence spaces using the fractional finite differences and we prove some structural properties similar to classical Lebesgue sequence spaces. In order to show the main results about fractional finite differences, we state equalities involving sums of quotients of Euler's Gamma functions. Finally, we display some graphical representations of the spectra of generalized Cesà ro operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luciano Abadias, Pedro J. Miana,