The structure of a subclass of amenable Banach algebras.
El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Z. Hu, M. Sangani Monfared, T. Traynor (2009)
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We obtain characterizations of left character amenable Banach algebras in terms of the existence of left ϕ-approximate diagonals and left ϕ-virtual diagonals. We introduce the left character amenability constant and find this constant for some Banach algebras. For all locally compact groups G, we show that the Fourier-Stieltjes algebra B(G) is C-character amenable with C < 2 if and only if G is compact. We prove that if A is a character amenable, reflexive, commutative Banach algebra,...
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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Jochen Reinermann (1970)
Annales Polonici Mathematici
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J. R. Holub (1971)
Colloquium Mathematicae
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Stanisław Szufla (1977)
Annales Polonici Mathematici
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Fatemeh Anousheh, Davood Ebrahimi Bagha, Abasalt Bodaghi (2015)
Open Mathematics
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Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.
Bertram Yood (2008)
Studia Mathematica
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Stephen A. Saxon, Albert Wilansky (1977)
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V. Rakočević (1984)
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Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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