The spectrum of the generalized difference operator B v(m) over the sequence space ℓp (1 < p < ∞

Jian Meng; Liquan Mei

doi:10.1080/03081087.2018.1540535

The spectrum of the generalized difference operator B _v^(m) over the sequence space ℓ_p (1 < p < ∞

Jian Meng
, Liquan Mei

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we determine the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator (Formula presented.) on the sequence space (Formula presented.) (Formula presented.). These results generalize the spectrum of the difference operator (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and some other cases (Formula presented.), (Formula presented.), (Formula presented.) over the space (Formula presented.).

Original language	English
Pages (from-to)	1329-1339
Number of pages	11
Journal	Linear and Multilinear Algebra
Volume	68
Issue number	7
DOIs	https://doi.org/10.1080/03081087.2018.1540535
State	Published - 2 Jul 2020

Keywords

46A45
47A10
47B39
Difference operator
resolvent operator
spectral aspect

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10.1080/03081087.2018.1540535

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title = "The spectrum of the generalized difference operator B v(m) over the sequence space ℓp (1 < p < ∞",

abstract = "In this paper, we determine the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator (Formula presented.) on the sequence space (Formula presented.) (Formula presented.). These results generalize the spectrum of the difference operator (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and some other cases (Formula presented.), (Formula presented.), (Formula presented.) over the space (Formula presented.).",

keywords = "46A45, 47A10, 47B39, Difference operator, resolvent operator, spectral aspect",

author = "Jian Meng and Liquan Mei",

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year = "2020",

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T1 - The spectrum of the generalized difference operator B v(m) over the sequence space ℓp (1 < p < ∞

AU - Meng, Jian

AU - Mei, Liquan

PY - 2020/7/2

Y1 - 2020/7/2

N2 - In this paper, we determine the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator (Formula presented.) on the sequence space (Formula presented.) (Formula presented.). These results generalize the spectrum of the difference operator (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and some other cases (Formula presented.), (Formula presented.), (Formula presented.) over the space (Formula presented.).

AB - In this paper, we determine the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator (Formula presented.) on the sequence space (Formula presented.) (Formula presented.). These results generalize the spectrum of the difference operator (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and some other cases (Formula presented.), (Formula presented.), (Formula presented.) over the space (Formula presented.).

KW - 46A45

KW - 47A10

KW - 47B39

KW - Difference operator

KW - resolvent operator

KW - spectral aspect

UR - https://www.scopus.com/pages/publications/85057325886

U2 - 10.1080/03081087.2018.1540535

DO - 10.1080/03081087.2018.1540535

M3 - 文章

AN - SCOPUS:85057325886

SN - 0308-1087

VL - 68

SP - 1329

EP - 1339

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 7

ER -

The spectrum of the generalized difference operator B _v^(m) over the sequence space ℓ_p (1 < p < ∞

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Keywords

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