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Complex uniformly convex Banach spaces and Riesz measures.

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

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Complex uniformly convex Banach spaces and Riesz measures. / Blower, Gordon; Ransford, T. J.
In: Canadian Journal of Mathematics, Vol. 56, No. 2, 06.2004, p. 225-245.

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

Harvard

Blower, G & Ransford, TJ 2004, 'Complex uniformly convex Banach spaces and Riesz measures.', Canadian Journal of Mathematics, vol. 56, no. 2, pp. 225-245. <http://journals.cms.math.ca/cgi-bin/vault/view/blower2247>

APA

Blower, G., & Ransford, T. J. (2004). Complex uniformly convex Banach spaces and Riesz measures. Canadian Journal of Mathematics, 56(2), 225-245. http://journals.cms.math.ca/cgi-bin/vault/view/blower2247

Vancouver

Blower G, Ransford TJ. Complex uniformly convex Banach spaces and Riesz measures. Canadian Journal of Mathematics. 2004 Jun;56(2):225-245.

Author

Blower, Gordon ; Ransford, T. J. / Complex uniformly convex Banach spaces and Riesz measures. In: Canadian Journal of Mathematics. 2004 ; Vol. 56, No. 2. pp. 225-245.

Bibtex

@article{45ba5b8e3ee542c5b924d1e2dd6b17de,
title = "Complex uniformly convex Banach spaces 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 leq p leq 2.",
keywords = "subharmonic functions, Banach spaces, Schatten trace ideals",
author = "Gordon Blower and Ransford, {T. J.}",
note = "RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics",
year = "2004",
month = jun,
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 uniformly convex Banach spaces and Riesz measures.

AU - Blower, Gordon

AU - Ransford, T. J.

N1 - RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics

PY - 2004/6

Y1 - 2004/6

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 leq p leq 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 leq p leq 2.

KW - subharmonic functions

KW - Banach spaces

KW - Schatten trace ideals

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 -