Factorization in Fréchet spaces
W. Summers (1971)
Studia Mathematica
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W. Summers (1971)
Studia Mathematica
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Takahasi, Sin-Ei (1991)
International Journal of Mathematics and Mathematical Sciences
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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.
W. H. Schikhof (1971)
Compositio Mathematica
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Joseph W. Kitchen, David A. Robbins
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PrefaceLet A be a commutative Banach algebra with maximal ideal space ∆ and let ^: A → C₀(∆) be the Gelfand representation of A. If M is a Banach module over A, then a bounded linear map φ: M → M₀, will be called a representation of M of Gelfund type if M₀ is a Banach module over C₀(∆) and φ is ^-linear in the sense that φ(ax) = âφ(x) for all a ∈ A and x ∈ M. Two such representations have been studied previously. In [50] and [51] Robbins describes such a representation in which M₀, is...
Graham Allan, Allan Sinclair (1976)
Studia Mathematica
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Massoud Amini (2015)
Open Mathematics
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We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.
J. Paseka (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Bodaghi, A., Ettefagh, M., Eshaghi Gordji, M., Medghalchi, A.R. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Rasoul Nasr-Isfahani, Sima Soltani Renani (2011)
Studia Mathematica
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Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.
Philippe Jaming, William Moran (2000)
Collectanea Mathematica
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In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
Gerhard Racher (2010)
Banach Center Publications
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In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.