Extreme polynomials on C0

Yun Sung Choi; Sung Guen Kim

Extreme polynomials on C₀

Yun Sung Choi, Sung Guen Kim

Pohang University of Science and Technology

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

30 Scopus citations

Abstract

We prove that every monomial in P(^mc₀) is a strong extreme point of the unit ball of P(^mc₀) in the complex case, and show that in P(²c₀) there is an extremal but not extreme polynomial in the real case. Moreover, we show that there is no extremal polynomial in P(^mc₀) in the complex case.

Original language	English
Pages (from-to)	983-989
Number of pages	7
Journal	Indian Journal of Pure and Applied Mathematics
Volume	29
Issue number	10
State	Published - Oct 1998

Keywords

Banach spaces
Extreme point
Polynomials

Cite this

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title = "Extreme polynomials on C0",

abstract = "We prove that every monomial in P(mc0) is a strong extreme point of the unit ball of P(mc0) in the complex case, and show that in P(2c0) there is an extremal but not extreme polynomial in the real case. Moreover, we show that there is no extremal polynomial in P(mc0) in the complex case.",

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author = "Choi, {Yun Sung} and Kim, {Sung Guen}",

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AU - Choi, Yun Sung

AU - Kim, Sung Guen

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N2 - We prove that every monomial in P(mc0) is a strong extreme point of the unit ball of P(mc0) in the complex case, and show that in P(2c0) there is an extremal but not extreme polynomial in the real case. Moreover, we show that there is no extremal polynomial in P(mc0) in the complex case.

AB - We prove that every monomial in P(mc0) is a strong extreme point of the unit ball of P(mc0) in the complex case, and show that in P(2c0) there is an extremal but not extreme polynomial in the real case. Moreover, we show that there is no extremal polynomial in P(mc0) in the complex case.

KW - Banach spaces

KW - Extreme point

KW - Polynomials

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JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 10

ER -

Extreme polynomials on C₀

Abstract

Keywords

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