Abstract and Applied Analysis

A Riesz representation theorem for cone-valued functions

Walter Roth

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Abstract

We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-valued functions endowed with an inductive limit topology may be represented by such integrals.

Article information

Source
Abstr. Appl. Anal., Volume 4, Number 4 (1999), 209-229.

Dates
First available in Project Euclid: 9 April 2003

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1049907223

Digital Object Identifier
doi:10.1155/S1085337599000160

Mathematical Reviews number (MathSciNet)
MR1812999

Zentralblatt MATH identifier
0983.46033

Subjects
Primary: 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40] 46E40

Citation

Roth, Walter. A Riesz representation theorem for cone-valued functions. Abstr. Appl. Anal. 4 (1999), no. 4, 209--229. doi:10.1155/S1085337599000160. https://projecteuclid.org/euclid.aaa/1049907223


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