Sublinear functionals and conical measures

Heinz König ()
Additional contact information
Heinz König: Universität des Saarlandes, Fakultät für Mathematik und Informatik

A chapter in Measure and Integration, 2012, pp 165-173 from Springer

Abstract: Abstract The paper is devoted to the concept of conical measures which is central for the Choquet theory of integral representation in its final version. The conical measures need not be continuous under monotone pointwise convergence of sequences on the lattice subspace of functions which form their domain. We prove that they indeed become continuous (even in the nonsequential sense) when one restricts that domain to an obvious subcone. This result is in accord with the recent representation theory in measure and integration developed by the author. We also prove that one can pass from the subcone in question to a certain natural extended cone.

Keywords: Linear Subspace; Convex Cone; Topological Vector Space; Weak Topology; Real Vector Space (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0382-3_9

Ordering information: This item can be ordered from
http://www.springer.com/9783034803823

DOI: 10.1007/978-3-0348-0382-3_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().