Methods in the theory of hereditarily indecomposable Banach spaces / [electronic resource] Spiros A. Argyros, Andreas Tolias.

"July 2004, Volume 170, Number 806 (third of 4 numbers)."

Includes bibliographical references (p. 113-114).

Introduction 1. General results about H.I. spaces 2. Schreier families and repeated averages 3. The space $X = T[G, (\mathcal {S}_{n_j}, 1/m_j)_j, D]$ and the auxiliary space $T_{ad}$ 4. The basic inequality 5. Special convex combinations in $X$ 6. Rapidly increasing sequences 7. Defining $D$ to obtain a H.I.\ space $X_G$ 8. The predual $(X_G)_*$ of $X_G$ is also H.I. 9. The structure of the space of operators $\mathcal {L}(X_G)$ 10. Defining $G$ to obtain a nonseparable H.I.\ space $X^*_G$ 11. Complemented embedding of $l^p$, $1 \leq p < \infty $, in the duals of H.I.\ spaces 12. Compact families in $\mathbb {N}$ 13. The space $X_G = T[G, (\mathcal {S}_\xi , 1/m_j)_j, D]$ for an $\mathcal {S}_\xi $ bounded set $G$ 14. Quotients of H.I.\ spaces

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.