On the fine spectra of triple-band matrix U(r,s,t) over the sequence space L1
سال انتشار: 1396
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 400
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شناسه ملی سند علمی:
MARBS01_031
تاریخ نمایه سازی: 4 مهر 1396
چکیده مقاله:
In functional analysis, the spectrum of an operator generalizes the notion of eigenvalues for matrices. The spectrum of an operator over a Banach space is partitioned into three parts, which are the point spectrum, the continuous spectrum and the residual spectrum. The calculation of three parts of the spectrum of an operator is called calculating the fine spectrum of the operator. The fine spectra of lower triangular double and triple - band matrices have been examined by several authors.Karakaya and Altun (2010) have determined the fine spectra of upper triangular double-band matrices over the sequence spaces and . Here we determine the fine spectra of upper triangular triple-bandmatrix , , over the sequence space ℓ .
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نویسندگان
Javad Fathi
Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran