Invertibility and spectrum of Hille-Tamarkin matrices

M. I. Gil'

doi:10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23

Invertibility and spectrum of Hille-Tamarkin matrices

M. I. Gil'

Department of Mathematics

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

7 Scopus citations

Abstract

Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.

Original language	English
Pages (from-to)	78-88
Number of pages	11
Journal	Mathematische Nachrichten
Volume	244
DOIs	https://doi.org/10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23
State	Published - 1 Jan 2002

Keywords

Infinite matrices
Invertibility
Spectrum localization

ASJC Scopus subject areas

General Mathematics

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10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23

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title = "Invertibility and spectrum of Hille-Tamarkin matrices",

abstract = "Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.",

keywords = "Infinite matrices, Invertibility, Spectrum localization",

author = "Gil', {M. I.}",

year = "2002",

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doi = "10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23",

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AU - Gil', M. I.

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N2 - Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.

AB - Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.

KW - Infinite matrices

KW - Invertibility

KW - Spectrum localization

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U2 - 10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23

DO - 10.1002/1522-2616(200210)244:1<78::aid-mana78>3.0.co;2-%23

M3 - Article

AN - SCOPUS:0036400513

SN - 0025-584X

VL - 244

SP - 78

EP - 88

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

Invertibility and spectrum of Hille-Tamarkin matrices

Abstract

Keywords

ASJC Scopus subject areas

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