[PDF.29ne] An F-space Sampler (London Mathematical Society Lecture Note Series)

An F-space Sampler (London Mathematical Society Lecture Note Series)

[PDF.mq82] An F-space Sampler (London Mathematical Society Lecture Note Series)

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 |  1984-09-27 |  1984-09-27 | File type: PDF

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This book presents a theory motivated by the spaces LP, 0 ≤ p < l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn–Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the non-locally convex setting, and are a central theme. Several of the classical problems in the area have been settled in the last decade, and a number of their solutions are pr...

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