Displaying similar documents to “Group representations in non-archimedean Banach spaces”

Tensor products and p-induction of representations on Banach spaces.

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.

Gelfand representation of Banach modules

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...