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Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras

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Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras. / Choi, Yemon.
In: Journal of Mathematical Analysis and Applications, Vol. 358, No. 2, 15.10.2009, p. 249-260.

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

Harvard

Choi, Y 2009, 'Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras', Journal of Mathematical Analysis and Applications, vol. 358, no. 2, pp. 249-260. https://doi.org/10.1016/j.jmaa.2009.05.002

APA

Choi, Y. (2009). Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras. Journal of Mathematical Analysis and Applications, 358(2), 249-260. https://doi.org/10.1016/j.jmaa.2009.05.002

Vancouver

Choi Y. Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras. Journal of Mathematical Analysis and Applications. 2009 Oct 15;358(2):249-260. doi: 10.1016/j.jmaa.2009.05.002

Author

Choi, Yemon. / Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras. In: Journal of Mathematical Analysis and Applications. 2009 ; Vol. 358, No. 2. pp. 249-260.

Bibtex

@article{7b57065687b34ebc90830db1aa696d66,
title = "Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras",
abstract = "The point cohomology of the convolution algebra ℓ1(Z+) is known to vanish in degrees 2 and above. We sharpen this result by obtaining splitting maps whose norms are bounded independently of the choice of point module. Our construction is a by-product of new estimates on projectivity constants of maximal ideals in ℓ1(Z+). Analogous results are obtained for some other L1-algebras which arise from {\textquoteleft}rank one{\textquoteright} subsemigroups of R+.",
keywords = "Point cohomology, Semigroup algebra , Uniformly bounded solution of cohomology problems , Flat Banach module , Maximal ideal",
author = "Yemon Choi",
year = "2009",
month = oct,
day = "15",
doi = "10.1016/j.jmaa.2009.05.002",
language = "English",
volume = "358",
pages = "249--260",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Uniform bounds for point cohomology of $\ell^1(\mathbb Z_+)$ and related algebras

AU - Choi, Yemon

PY - 2009/10/15

Y1 - 2009/10/15

N2 - The point cohomology of the convolution algebra ℓ1(Z+) is known to vanish in degrees 2 and above. We sharpen this result by obtaining splitting maps whose norms are bounded independently of the choice of point module. Our construction is a by-product of new estimates on projectivity constants of maximal ideals in ℓ1(Z+). Analogous results are obtained for some other L1-algebras which arise from ‘rank one’ subsemigroups of R+.

AB - The point cohomology of the convolution algebra ℓ1(Z+) is known to vanish in degrees 2 and above. We sharpen this result by obtaining splitting maps whose norms are bounded independently of the choice of point module. Our construction is a by-product of new estimates on projectivity constants of maximal ideals in ℓ1(Z+). Analogous results are obtained for some other L1-algebras which arise from ‘rank one’ subsemigroups of R+.

KW - Point cohomology

KW - Semigroup algebra

KW - Uniformly bounded solution of cohomology problems

KW - Flat Banach module

KW - Maximal ideal

U2 - 10.1016/j.jmaa.2009.05.002

DO - 10.1016/j.jmaa.2009.05.002

M3 - Journal article

VL - 358

SP - 249

EP - 260

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -