Interpolation of Banach algebras and tensor products of Banach couples |
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Authors: | Sten Kaijser |
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Affiliation: | Department of Mathematics, Uppsala University, Box 480, SE-751 06 Uppsala, Sweden |
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Abstract: | Using tensor products of Banach couples we study a class of interpolation functors with the property that to every Banach couple of Banach algebras they give an interpolation space which is a Banach algebra. For the real θ,1-method we give a complete answer to the question of when the interpolation space is unital. |
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Keywords: | Interpolation Banach algebra Tensor product Banach couple Unit Analytic functions |
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