Norm and numerical radius of 2-homogeneous polynomials on the real space lp2, (1 < p < ∞)

Sung Guen Kim

doi:10.5666/KMJ.2008.48.3.387

Norm and numerical radius of 2-homogeneous polynomials on the real space l_p², (1 < p < ∞)

Sung Guen Kim

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

4 Scopus citations

Abstract

In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space l_p² (1 < p < ∞) to itself in terms of their coefficients. We also give an upper bound for n^(k)(l_p²), (k = 2,3,...).

Original language	English
Pages (from-to)	387-393
Number of pages	7
Journal	Kyungpook Mathematical Journal
Volume	48
Issue number	3
DOIs	https://doi.org/10.5666/KMJ.2008.48.3.387
State	Published - 2008

Keywords

Numerical radius
Polynomial norm
Polynomial numerical index

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10.5666/KMJ.2008.48.3.387

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title = "Norm and numerical radius of 2-homogeneous polynomials on the real space lp2, (1 < p < ∞)",

abstract = "In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space lp2 (1 < p < ∞) to itself in terms of their coefficients. We also give an upper bound for n(k)(lp2), (k = 2,3,...).",

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year = "2008",

doi = "10.5666/KMJ.2008.48.3.387",

language = "English",

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pages = "387--393",

journal = "Kyungpook Mathematical Journal",

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TY - JOUR

T1 - Norm and numerical radius of 2-homogeneous polynomials on the real space lp2, (1 < p < ∞)

AU - Kim, Sung Guen

PY - 2008

Y1 - 2008

N2 - In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space lp2 (1 < p < ∞) to itself in terms of their coefficients. We also give an upper bound for n(k)(lp2), (k = 2,3,...).

AB - In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space lp2 (1 < p < ∞) to itself in terms of their coefficients. We also give an upper bound for n(k)(lp2), (k = 2,3,...).

KW - Numerical radius

KW - Polynomial norm

KW - Polynomial numerical index

UR - https://www.scopus.com/pages/publications/57349155154

U2 - 10.5666/KMJ.2008.48.3.387

DO - 10.5666/KMJ.2008.48.3.387

M3 - Article

AN - SCOPUS:57349155154

SN - 1225-6951

VL - 48

SP - 387

EP - 393

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 3

ER -

Norm and numerical radius of 2-homogeneous polynomials on the real space l_p², (1 < p < ∞)

Abstract

Keywords

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