Methods in the Theory of Hereditarily Indecomposable Banach Spaces

Author/creator Argyros, S., 1950- Author
Other author Tolias, Andreas 1974- Author
Format Electronic
Publication InfoProvidence : American Mathematical Society
Description114 p.
Supplemental ContentFull text available from Ebook Central - Academic Complete
Supplemental ContentFull text available from Memoirs of the American Mathematical Society - Backfile
Subjects

SeriesMemoirs of the American Mathematical Society Ser. 170
Summary Annotation Introduction General results about H.I. spaces Schreier families and repeated averages The space ${X= T [G,(mathcal{S}_{n_j}, {frac {1}{m_j})}_{j},D]}$ and the auxiliary space ${T_{ad}}$ The basic inequality Special convex combinations in $X$ Rapidly increasing sequences Defining $D$ to obtain a H.I. space ${X_G}$ The predual ${(X_G)_*}$ of ${X_G}$ is also H.I. The structure of the space of operators ${mathcal L}(X_G)$ Defining $G$ to obtain a nonseparable H.I. space ${X_G^*}$ Complemented embedding of ${ell^p}, {1le p < infty}$, in the duals of H.I. spaces Compact families in $mathbb{N}$ The space ${X_{G}=T[G,(mathcal{S}_{xi_j},{frac {1}{m_j})_{j}},D]}$ for an ${mathcal{S}_{xi}}$ bounded set $G$ Quotients of H.I. spaces Bibliography
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Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2004046103
ISBN9780821835210
ISBN0821835211 (Trade Paper) Active Record
Standard identifier# 9780821835210
Stock number00001436

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