Structures In Banach Spaces
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Symmetric Structures in Banach Spaces
Author: William B. Johnson
language: en
Publisher: American Mathematical Soc.
Release Date: 1979
In this paper detailed investigations of spaces with a symmetric basis of finite length and rearrangement invariant function spaces are presented. The emphasis is on questions arising naturally from the theory of [italic]L[italic subscript]p-spaces.
Lattice Structures on Banach Spaces
Author: Nigel John Kalton
language: en
Publisher: Oxford University Press, USA
Release Date: 2014-08-31
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.
Lattice Structures on Banach Spaces
Author: Nigel John Kalton
language: en
Publisher: American Mathematical Soc.
Release Date: 1993
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.