Plank type problems for polynomials on Banach spaces

Andreas Kavadjiklis; Sung Guen Kim

doi:10.1016/j.jmaa.2012.06.029

Plank type problems for polynomials on Banach spaces

Andreas Kavadjiklis
, Sung Guen Kim

National Technical University of Athens

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

2 Scopus citations

Abstract

In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L _p(μ) spaces.

Original language	English
Pages (from-to)	528-535
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	396
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.06.029
State	Published - 15 Dec 2012

Keywords

Plank problems
Polynomials on Banach spaces
Upper and lower bounds

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10.1016/j.jmaa.2012.06.029

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title = "Plank type problems for polynomials on Banach spaces",

abstract = "In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L p(μ) spaces.",

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author = "Andreas Kavadjiklis and Kim, \{Sung Guen\}",

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T1 - Plank type problems for polynomials on Banach spaces

AU - Kavadjiklis, Andreas

AU - Kim, Sung Guen

PY - 2012/12/15

Y1 - 2012/12/15

N2 - In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L p(μ) spaces.

AB - In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L p(μ) spaces.

KW - Plank problems

KW - Polynomials on Banach spaces

KW - Upper and lower bounds

UR - https://www.scopus.com/pages/publications/84865572357

U2 - 10.1016/j.jmaa.2012.06.029

DO - 10.1016/j.jmaa.2012.06.029

M3 - Article

AN - SCOPUS:84865572357

SN - 0022-247X

VL - 396

SP - 528

EP - 535

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Plank type problems for polynomials on Banach spaces

Abstract

Keywords

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