# Approximate amenability for Banach sequence algebras

H. G. Dales; R. J. Loy; Y. Zhang

Studia Mathematica (2006)

- Volume: 177, Issue: 1, page 81-96
- ISSN: 0039-3223

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topH. G. Dales, R. J. Loy, and Y. Zhang. "Approximate amenability for Banach sequence algebras." Studia Mathematica 177.1 (2006): 81-96. <http://eudml.org/doc/285132>.

@article{H2006,

abstract = {We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where $A = ℓ^\{p\}$ for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $ℓ^\{p\}(ω)$.},

author = {H. G. Dales, R. J. Loy, Y. Zhang},

journal = {Studia Mathematica},

keywords = {amenability; approximate amenability; approximately inner; Banach sequence algebra},

language = {eng},

number = {1},

pages = {81-96},

title = {Approximate amenability for Banach sequence algebras},

url = {http://eudml.org/doc/285132},

volume = {177},

year = {2006},

}

TY - JOUR

AU - H. G. Dales

AU - R. J. Loy

AU - Y. Zhang

TI - Approximate amenability for Banach sequence algebras

JO - Studia Mathematica

PY - 2006

VL - 177

IS - 1

SP - 81

EP - 96

AB - We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where $A = ℓ^{p}$ for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $ℓ^{p}(ω)$.

LA - eng

KW - amenability; approximate amenability; approximately inner; Banach sequence algebra

UR - http://eudml.org/doc/285132

ER -

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