[PDF.32sy] Methods in the Theory of Hereditarily Indecomposable Banach Spaces (Memoirs of the American Mathematical Society)

Methods in the Theory of Hereditarily Indecomposable Banach Spaces (Memoirs of the American Mathematical Society)

[PDF.xz82] Methods in the Theory of Hereditarily Indecomposable Banach Spaces (Memoirs of the American Mathematical Society)

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 | #9089355 in Books |  2004-07 | Original language:English |  10.04 x.28 x6.97l,.56 | File type: PDF | 114 pages

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||About the Author|Spiros Argyros, national Technical University of Athens. Andreas Tolias, Max Planck Institute.

A general method producing Hereditarily Indecomposable (H.I.) Banach spaces is provided. We apply this method to construct a nonseparable H.I. Banach space $Y$. This space is the dual, as well as the second dual, of a separable H.I. Banach space. Moreover the space of bounded linear operators ${\mathcal{L}}Y$ consists of elements of the form $\lambda I+W$ where $W$ is a weakly compact operator and hence it has separable range. Another consequence of the exhibited method ...

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