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Complex Uniform Convexity and Riesz Measures

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Complex Uniform Convexity and Riesz Measures. / Blower, G.; Ransford, T.
In: Canadian Journal of Mathematics, Vol. 56, No. 2, 01.04.2004, p. 225-245.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G & Ransford, T 2004, 'Complex Uniform Convexity and Riesz Measures', Canadian Journal of Mathematics, vol. 56, no. 2, pp. 225-245. https://doi.org/10.4153/CJM-2004-011-3

APA

Blower, G., & Ransford, T. (2004). Complex Uniform Convexity and Riesz Measures. Canadian Journal of Mathematics, 56(2), 225-245. https://doi.org/10.4153/CJM-2004-011-3

Vancouver

Blower G, Ransford T. Complex Uniform Convexity and Riesz Measures. Canadian Journal of Mathematics. 2004 Apr 1;56(2):225-245. doi: 10.4153/CJM-2004-011-3

Author

Blower, G. ; Ransford, T. / Complex Uniform Convexity and Riesz Measures. In: Canadian Journal of Mathematics. 2004 ; Vol. 56, No. 2. pp. 225-245.

Bibtex

@article{b8f030c54cdd40e99a1677621b9b438b,
title = "Complex Uniform Convexity and Riesz Measures",
abstract = "The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von Neumann-Schatten trace ideals. Banach spaces that are q -uniformly PL -convex in the sense of Davis, Garling and Tomczak-Jaegermann are characterized in terms of the mass distribution of this measure. This gives a new proof that the trace ideals cp are 2-uniformly PL -convex for 1≤p≤2 .",
author = "G. Blower and T. Ransford",
year = "2004",
month = apr,
day = "1",
doi = "10.4153/CJM-2004-011-3",
language = "English",
volume = "56",
pages = "225--245",
journal = "Canadian Journal of Mathematics",
issn = "0008-414X",
publisher = "Canadian Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Complex Uniform Convexity and Riesz Measures

AU - Blower, G.

AU - Ransford, T.

PY - 2004/4/1

Y1 - 2004/4/1

N2 - The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von Neumann-Schatten trace ideals. Banach spaces that are q -uniformly PL -convex in the sense of Davis, Garling and Tomczak-Jaegermann are characterized in terms of the mass distribution of this measure. This gives a new proof that the trace ideals cp are 2-uniformly PL -convex for 1≤p≤2 .

AB - The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von Neumann-Schatten trace ideals. Banach spaces that are q -uniformly PL -convex in the sense of Davis, Garling and Tomczak-Jaegermann are characterized in terms of the mass distribution of this measure. This gives a new proof that the trace ideals cp are 2-uniformly PL -convex for 1≤p≤2 .

U2 - 10.4153/CJM-2004-011-3

DO - 10.4153/CJM-2004-011-3

M3 - Journal article

VL - 56

SP - 225

EP - 245

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

SN - 0008-414X

IS - 2

ER -