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100301s2009 gw | s |||| 0|eng d |
| 020 |
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|a 9783540875659
|9 978-3-540-87565-9
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| 024 |
7 |
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|a 10.1007/978-3-540-87565-9
|2 doi
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|a QA312-312.5
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|a PBKL
|2 bicssc
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|a MAT034000
|2 bisacsh
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|a 515.42
|2 23
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|a Roth, Walter.
|e author.
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|a Operator-Valued Measures and Integrals for Cone-Valued Functions
|c by Walter Roth.
|h [electronic resource] /
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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| 300 |
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|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Lecture Notes in Mathematics,
|v 1964
|x 0075-8434 ;
|
| 505 |
0 |
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|a Introduction -- 1. Locally Convex Cones -- 2. Measures and Integrals. The General Theory -- 3. Measures on Locally Compact Spaces -- List of Symbols -- Bibliography -- Index.
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| 520 |
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|a 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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Functional analysis.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Measure and Integration.
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| 650 |
2 |
4 |
|a Functional Analysis.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783540875642
|
| 830 |
# |
0 |
|a Lecture Notes in Mathematics,
|v 1964
|x 0075-8434 ;
|
| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-87565-9
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|