On numerical ranges and roots

Chi Kwong Li; Leiba Rodman; Ilya M. Spitkovsky

doi:10.1016/S0022-247X(03)00158-6

On numerical ranges and roots

Chi Kwong Li, Leiba Rodman, Ilya M. Spitkovsky

Mathematics

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

Abstract

Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.

Original language	English (US)
Pages (from-to)	329-340
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	282
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(03)00158-6
State	Published - Jun 1 2003

Keywords

Hermitian Banach algebra
Numerical range
Root

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-247X(03)00158-6

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title = "On numerical ranges and roots",

abstract = "Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.",

keywords = "Hermitian Banach algebra, Numerical range, Root",

author = "Li, {Chi Kwong} and Leiba Rodman and Spitkovsky, {Ilya M.}",

note = "Funding Information: ✩ Research was supported by NSF Grants. * Corresponding author. E-mail addresses: [email protected] (C.-K. Li), [email protected] (L. Rodman), [email protected] (I.M. Spitkovsky).",

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AU - Li, Chi Kwong

AU - Rodman, Leiba

AU - Spitkovsky, Ilya M.

N1 - Funding Information: ✩ Research was supported by NSF Grants. * Corresponding author. E-mail addresses: [email protected] (C.-K. Li), [email protected] (L. Rodman), [email protected] (I.M. Spitkovsky).

PY - 2003/6/1

Y1 - 2003/6/1

N2 - Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.

AB - Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.

KW - Hermitian Banach algebra

KW - Numerical range

KW - Root

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JF - Journal of Mathematical Analysis and Applications

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ER -

On numerical ranges and roots

Abstract

Keywords

ASJC Scopus subject areas

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