Fine spectra of upper triangular double-band matrices

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摘要

The fine spectra of lower triangular double-band matrices have been examined by several authors (e.g. [13], [22]). Here we determine the fine spectra of upper triangular double-band matrices over the sequence spaces c0 and c. Upper triangular double-band matrices are infinite matrices which include the left-shift, averaging and difference operators.

论文关键词:47A10,47B37,Spectrum of an operator,Infinite matrices,Sequence spaces

论文评审过程:Received 1 February 2009, Revised 2 February 2010, Available online 11 February 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.02.014