Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) by Nigel J. Kalton (PDF)

Description

The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions of uniqueness of lattice structure for function spaces have been studied before, but here the approach uses random measure representations for operators in a new way to obtain more powerful conclusions. A typical result is the following: If $X$ is a rearrangement-invariant space on $[0,1]$ not equal to $L_2$, and if $Y$ is an order-continuous Banach lattice which has a complemented subspace isomorphic as a Banach space to $X$, then $Y$ has a complemented sublattice which is isomorphic to $X$ (with one of two possible lattice structures). New examples are also given of spaces with a unique lattice structure.

User’s Reviews

Keywords

Free Download Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) in PDF format
Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) PDF Free Download
Download Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) PDF Free
Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) PDF Free Download
Download Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) PDF
Free Download Ebook Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society)