Nicht lieferbar
Methods in the Theory of Hereditarily Indecomposable Banach Spaces
Versandkostenfrei!
Nicht lieferbar
Introduction; General results about H.I. spaces; Schreier families and repeated averages; The space ${X= T [G,(mathcal{S} {n j}, {tfrac {1}{m j})} {j},D]}$ 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 ${ellp}, {1le p < infty}$, in the duals of H.I. spaces; Compact families in $mathb...
Introduction; General results about H.I. spaces; Schreier families and repeated averages; The space ${X= T [G,(mathcal{S} {n j}, {tfrac {1}{m j})} {j},D]}$ 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 ${ellp}, {1le p < infty}$, in the duals of H.I. spaces; Compact families in $mathbb{N}$; The space ${X {G}=T[G,(mathcal{S} {xi j},{tfrac {1}{m j}) {j}},D]}$ for an ${mathcal{S} {xi}}$ bounded set $G$; Quotients of H.I. spaces; Bibliography