Baire classes of complex L1-preduals

Title:

Baire classes of complex L1-preduals

Creator:

Pavel Ludvík and Jiří Spurný

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f0a3bdb0-dae3-4260-a77b-4fde11b7aa9c
uuid:f0a3bdb0-dae3-4260-a77b-4fde11b7aa9c
issn:0011-4642

Subject:

Matematika, matematika, mathematics, complex L1-predual, extreme point, Baire function, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let X be a complex L1-predual, non-separable in general. We investigate extendability of complex-valued bounded homogeneous Baire-α functions on the set ext B_{X*} of the extreme points of the dual unit ball B_{X*} to the whole unit ball B_{X*}. As a corollary we show that, given α \in [1, ω1), the intrinsic α-th Baire class of X can be identified with the space of bounded homogeneous Baire-α functions on the set ext B_{X*} when ext B_{X*} satisfies certain topological assumptions. The paper is intended to be a complex counterpart to the same authors’ paper: Baire classes of non-separable L1-preduals (2015). As such it generalizes former work of Lindenstrauss and Wulbert (1969), Jellett (1985), and ourselves (2014), (2015)., Pavel Ludvík, Jiří Spurný., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:3

Harvested from:

CDK

Metadata only:

false