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STUDY THE SPECTRUM OF THE UPPER TRIANGULAR MATRIX U(p, 0, q, 0, r) OVER THE SEQUENCE SPACES c0 AND c

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In this paper, an analysis has been made on the spectrum and fine spectrum of the upper triangular matrix U(p, 0, q, 0, r) over the sequence spaces c0 and c. We also investigate the approximate point spectrum and compression spectrum on these spaces.

Abstract

In this paper, an analysis has been made on the spectrum and fine spectrum of the upper triangular matrix U(p, 0, q, 0, r) over the sequence spaces c0 and c. We also investigate the approximate point spectrum and compression spectrum on these spaces.

참고문헌 (16)

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  13. Binod Chandra Tripathy, "The Spectrum of the Opertator D(r, 0, 0, s) over the Sequence Spaces c0 and c", Kyungpook Mathematical Journal, 53(2), pp.247~256 (2013), 경북대학교 자연과학대학 수학과[DOI]
  14. B. C. Tripathy, "The spectrum of the operator D(r, 0, s, 0, t) over the sequence spaces c0 and c", Jour. Math, pp.430965~430971 (2013)
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  16. P. D. Srivastava, "Fine spectrum of the generalized difference operator Δv on sequence space ℓ1", Thai J. Math, 8, pp.7~19 (2010)

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