Roth, Walter. <br/><br/>
Operator-Valued Measures and Integrals for Cone-Valued Functions  [electronic resource] / 
by Walter Roth. 
 -  online resource. 
 - Lecture Notes in Mathematics,  1964  0075-8434 ; .
 - Lecture Notes in Mathematics,  1964 .
<br/><br/>Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. 
<br/><br/>ZDB-2-SMA ZDB-2-LNM 
<br/><br/> Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases. 
<br/><br/><label>ISBN: </label>9783540875659 
<br/><br/><label>Standard No.: </label>10.1007/978-3-540-87565-9  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Functional analysis.<br/>Mathematics.<br/>Measure and Integration.<br/>Functional Analysis.
<br/><br/><label>LC Class. No.: </label>QA312-312.5 
<br/><br/><label>Dewey Class. No.: </label>515.42